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Finding the Third Proportional to 468,184.50 and 724,518

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Solution

The third proportional to 468,184.50 and 724,518 is: 1,121,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,184.50 : 724,518 = 724,518 : x
  2. Step 2: Convert to fraction form
    468,184.50/724,518 = 724,518/x
  3. Step 3: Cross multiply
    468,184.50x = 724,518 × 724,518
  4. Step 4: Simplify right side
    468,184.50x = 524,926,332,324
  5. Step 5: Solve for x
    x = 524,926,332,324/468,184.50
  6. Step 6: Final answer
    x = 1,121,195.45

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