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Finding the Third Proportional to 487,245.38 and 708,724.69

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Solution

The third proportional to 487,245.38 and 708,724.69 is: 1,030,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,245.38 : 708,724.69 = 708,724.69 : x
  2. Step 2: Convert to fraction form
    487,245.38/708,724.69 = 708,724.69/x
  3. Step 3: Cross multiply
    487,245.38x = 708,724.69 × 708,724.69
  4. Step 4: Simplify right side
    487,245.38x = 502,290,682,671.97
  5. Step 5: Solve for x
    x = 502,290,682,671.97/487,245.38
  6. Step 6: Final answer
    x = 1,030,878.30

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