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Finding the Third Proportional to 587,535 and 792,724.50

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Solution

The third proportional to 587,535 and 792,724.50 is: 1,069,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,535 : 792,724.50 = 792,724.50 : x
  2. Step 2: Convert to fraction form
    587,535/792,724.50 = 792,724.50/x
  3. Step 3: Cross multiply
    587,535x = 792,724.50 × 792,724.50
  4. Step 4: Simplify right side
    587,535x = 628,412,132,900.25
  5. Step 5: Solve for x
    x = 628,412,132,900.25/587,535
  6. Step 6: Final answer
    x = 1,069,573.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.