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Finding the Third Proportional to 259,479 and 564,370.50

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Solution

The third proportional to 259,479 and 564,370.50 is: 1,227,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,479 : 564,370.50 = 564,370.50 : x
  2. Step 2: Convert to fraction form
    259,479/564,370.50 = 564,370.50/x
  3. Step 3: Cross multiply
    259,479x = 564,370.50 × 564,370.50
  4. Step 4: Simplify right side
    259,479x = 318,514,061,270.25
  5. Step 5: Solve for x
    x = 318,514,061,270.25/259,479
  6. Step 6: Final answer
    x = 1,227,513.83

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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.