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Finding the Third Proportional to 259,462.50 and 564,363.75

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Solution

The third proportional to 259,462.50 and 564,363.75 is: 1,227,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,462.50 : 564,363.75 = 564,363.75 : x
  2. Step 2: Convert to fraction form
    259,462.50/564,363.75 = 564,363.75/x
  3. Step 3: Cross multiply
    259,462.50x = 564,363.75 × 564,363.75
  4. Step 4: Simplify right side
    259,462.50x = 318,506,442,314.06
  5. Step 5: Solve for x
    x = 318,506,442,314.06/259,462.50
  6. Step 6: Final answer
    x = 1,227,562.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.