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Finding the Third Proportional to 332,248 and 707,996

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Solution

The third proportional to 332,248 and 707,996 is: 1,508,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,248 : 707,996 = 707,996 : x
  2. Step 2: Convert to fraction form
    332,248/707,996 = 707,996/x
  3. Step 3: Cross multiply
    332,248x = 707,996 × 707,996
  4. Step 4: Simplify right side
    332,248x = 501,258,336,016
  5. Step 5: Solve for x
    x = 501,258,336,016/332,248
  6. Step 6: Final answer
    x = 1,508,687.29

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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.