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Finding the Third Proportional to 288,534 and 613,932

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Solution

The third proportional to 288,534 and 613,932 is: 1,306,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,534 : 613,932 = 613,932 : x
  2. Step 2: Convert to fraction form
    288,534/613,932 = 613,932/x
  3. Step 3: Cross multiply
    288,534x = 613,932 × 613,932
  4. Step 4: Simplify right side
    288,534x = 376,912,500,624
  5. Step 5: Solve for x
    x = 376,912,500,624/288,534
  6. Step 6: Final answer
    x = 1,306,301.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.