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Finding the Third Proportional to 468,142.88 and 707,135.06

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Solution

The third proportional to 468,142.88 and 707,135.06 is: 1,068,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,142.88 : 707,135.06 = 707,135.06 : x
  2. Step 2: Convert to fraction form
    468,142.88/707,135.06 = 707,135.06/x
  3. Step 3: Cross multiply
    468,142.88x = 707,135.06 × 707,135.06
  4. Step 4: Simplify right side
    468,142.88x = 500,039,996,616.88
  5. Step 5: Solve for x
    x = 500,039,996,616.88/468,142.88
  6. Step 6: Final answer
    x = 1,068,135.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.