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Finding the Third Proportional to 458,704 and 708,508.50

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Solution

The third proportional to 458,704 and 708,508.50 is: 1,094,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,704 : 708,508.50 = 708,508.50 : x
  2. Step 2: Convert to fraction form
    458,704/708,508.50 = 708,508.50/x
  3. Step 3: Cross multiply
    458,704x = 708,508.50 × 708,508.50
  4. Step 4: Simplify right side
    458,704x = 501,984,294,572.25
  5. Step 5: Solve for x
    x = 501,984,294,572.25/458,704
  6. Step 6: Final answer
    x = 1,094,353.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.