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Finding the Third Proportional to 532,387.13 and 774,280.13

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Solution

The third proportional to 532,387.13 and 774,280.13 is: 1,126,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,387.13 : 774,280.13 = 774,280.13 : x
  2. Step 2: Convert to fraction form
    532,387.13/774,280.13 = 774,280.13/x
  3. Step 3: Cross multiply
    532,387.13x = 774,280.13 × 774,280.13
  4. Step 4: Simplify right side
    532,387.13x = 599,509,711,970.02
  5. Step 5: Solve for x
    x = 599,509,711,970.02/532,387.13
  6. Step 6: Final answer
    x = 1,126,078.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.