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Finding the Third Proportional to 480,651 and 724,657.50

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Solution

The third proportional to 480,651 and 724,657.50 is: 1,092,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,651 : 724,657.50 = 724,657.50 : x
  2. Step 2: Convert to fraction form
    480,651/724,657.50 = 724,657.50/x
  3. Step 3: Cross multiply
    480,651x = 724,657.50 × 724,657.50
  4. Step 4: Simplify right side
    480,651x = 525,128,492,306.25
  5. Step 5: Solve for x
    x = 525,128,492,306.25/480,651
  6. Step 6: Final answer
    x = 1,092,535.94

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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.