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Finding the Third Proportional to 272,166.50 and 591,070

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Solution

The third proportional to 272,166.50 and 591,070 is: 1,283,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,166.50 : 591,070 = 591,070 : x
  2. Step 2: Convert to fraction form
    272,166.50/591,070 = 591,070/x
  3. Step 3: Cross multiply
    272,166.50x = 591,070 × 591,070
  4. Step 4: Simplify right side
    272,166.50x = 349,363,744,900
  5. Step 5: Solve for x
    x = 349,363,744,900/272,166.50
  6. Step 6: Final answer
    x = 1,283,639.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.