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Finding the Third Proportional to 259,902 and 567,432

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Solution

The third proportional to 259,902 and 567,432 is: 1,238,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,902 : 567,432 = 567,432 : x
  2. Step 2: Convert to fraction form
    259,902/567,432 = 567,432/x
  3. Step 3: Cross multiply
    259,902x = 567,432 × 567,432
  4. Step 4: Simplify right side
    259,902x = 321,979,074,624
  5. Step 5: Solve for x
    x = 321,979,074,624/259,902
  6. Step 6: Final answer
    x = 1,238,848.01

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Why These Related Problems?

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