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Finding the Third Proportional to 229,848 and 487,524

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Solution

The third proportional to 229,848 and 487,524 is: 1,034,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,848 : 487,524 = 487,524 : x
  2. Step 2: Convert to fraction form
    229,848/487,524 = 487,524/x
  3. Step 3: Cross multiply
    229,848x = 487,524 × 487,524
  4. Step 4: Simplify right side
    229,848x = 237,679,650,576
  5. Step 5: Solve for x
    x = 237,679,650,576/229,848
  6. Step 6: Final answer
    x = 1,034,073.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.