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Finding the Third Proportional to 264,511 and 402,302.50

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Solution

The third proportional to 264,511 and 402,302.50 is: 611,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,511 : 402,302.50 = 402,302.50 : x
  2. Step 2: Convert to fraction form
    264,511/402,302.50 = 402,302.50/x
  3. Step 3: Cross multiply
    264,511x = 402,302.50 × 402,302.50
  4. Step 4: Simplify right side
    264,511x = 161,847,301,506.25
  5. Step 5: Solve for x
    x = 161,847,301,506.25/264,511
  6. Step 6: Final answer
    x = 611,873.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.