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Finding the Third Proportional to 472,531.50 and 712,654.50

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Solution

The third proportional to 472,531.50 and 712,654.50 is: 1,074,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,531.50 : 712,654.50 = 712,654.50 : x
  2. Step 2: Convert to fraction form
    472,531.50/712,654.50 = 712,654.50/x
  3. Step 3: Cross multiply
    472,531.50x = 712,654.50 × 712,654.50
  4. Step 4: Simplify right side
    472,531.50x = 507,876,436,370.25
  5. Step 5: Solve for x
    x = 507,876,436,370.25/472,531.50
  6. Step 6: Final answer
    x = 1,074,799.11

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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.