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Finding the Third Proportional to 259,134 and 560,709

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Solution

The third proportional to 259,134 and 560,709 is: 1,213,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,134 : 560,709 = 560,709 : x
  2. Step 2: Convert to fraction form
    259,134/560,709 = 560,709/x
  3. Step 3: Cross multiply
    259,134x = 560,709 × 560,709
  4. Step 4: Simplify right side
    259,134x = 314,394,582,681
  5. Step 5: Solve for x
    x = 314,394,582,681/259,134
  6. Step 6: Final answer
    x = 1,213,250.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.