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Finding the Third Proportional to 567,027 and 913,612.50

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Solution

The third proportional to 567,027 and 913,612.50 is: 1,472,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,027 : 913,612.50 = 913,612.50 : x
  2. Step 2: Convert to fraction form
    567,027/913,612.50 = 913,612.50/x
  3. Step 3: Cross multiply
    567,027x = 913,612.50 × 913,612.50
  4. Step 4: Simplify right side
    567,027x = 834,687,800,156.25
  5. Step 5: Solve for x
    x = 834,687,800,156.25/567,027
  6. Step 6: Final answer
    x = 1,472,042.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.