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Finding the Third Proportional to 366,932 and 583,751

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Solution

The third proportional to 366,932 and 583,751 is: 928,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,932 : 583,751 = 583,751 : x
  2. Step 2: Convert to fraction form
    366,932/583,751 = 583,751/x
  3. Step 3: Cross multiply
    366,932x = 583,751 × 583,751
  4. Step 4: Simplify right side
    366,932x = 340,765,230,001
  5. Step 5: Solve for x
    x = 340,765,230,001/366,932
  6. Step 6: Final answer
    x = 928,687.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.