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Finding the Third Proportional to 338,942 and 730,372

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Solution

The third proportional to 338,942 and 730,372 is: 1,573,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,942 : 730,372 = 730,372 : x
  2. Step 2: Convert to fraction form
    338,942/730,372 = 730,372/x
  3. Step 3: Cross multiply
    338,942x = 730,372 × 730,372
  4. Step 4: Simplify right side
    338,942x = 533,443,258,384
  5. Step 5: Solve for x
    x = 533,443,258,384/338,942
  6. Step 6: Final answer
    x = 1,573,848.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.