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Finding the Third Proportional to 539,764.50 and 792,132

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Solution

The third proportional to 539,764.50 and 792,132 is: 1,162,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,764.50 : 792,132 = 792,132 : x
  2. Step 2: Convert to fraction form
    539,764.50/792,132 = 792,132/x
  3. Step 3: Cross multiply
    539,764.50x = 792,132 × 792,132
  4. Step 4: Simplify right side
    539,764.50x = 627,473,105,424
  5. Step 5: Solve for x
    x = 627,473,105,424/539,764.50
  6. Step 6: Final answer
    x = 1,162,494.21

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