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Finding the Third Proportional to 471,226,495.50 and 759,271,414.50

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Solution

The third proportional to 471,226,495.50 and 759,271,414.50 is: 1,223,388,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,226,495.50 : 759,271,414.50 = 759,271,414.50 : x
  2. Step 2: Convert to fraction form
    471,226,495.50/759,271,414.50 = 759,271,414.50/x
  3. Step 3: Cross multiply
    471,226,495.50x = 759,271,414.50 × 759,271,414.50
  4. Step 4: Simplify right side
    471,226,495.50x = 576,493,080,876,830,848
  5. Step 5: Solve for x
    x = 576,493,080,876,830,848/471,226,495.50
  6. Step 6: Final answer
    x = 1,223,388,511.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.