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Finding the Third Proportional to 539,745 and 792,121.50

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Solution

The third proportional to 539,745 and 792,121.50 is: 1,162,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,745 : 792,121.50 = 792,121.50 : x
  2. Step 2: Convert to fraction form
    539,745/792,121.50 = 792,121.50/x
  3. Step 3: Cross multiply
    539,745x = 792,121.50 × 792,121.50
  4. Step 4: Simplify right side
    539,745x = 627,456,470,762.25
  5. Step 5: Solve for x
    x = 627,456,470,762.25/539,745
  6. Step 6: Final answer
    x = 1,162,505.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.