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Finding the Third Proportional to 274,657.50 and 424,429.88

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Solution

The third proportional to 274,657.50 and 424,429.88 is: 655,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,657.50 : 424,429.88 = 424,429.88 : x
  2. Step 2: Convert to fraction form
    274,657.50/424,429.88 = 424,429.88/x
  3. Step 3: Cross multiply
    274,657.50x = 424,429.88 × 424,429.88
  4. Step 4: Simplify right side
    274,657.50x = 180,140,718,792.52
  5. Step 5: Solve for x
    x = 180,140,718,792.52/274,657.50
  6. Step 6: Final answer
    x = 655,874.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.