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Finding the Third Proportional to 334,377 and 730,962

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Solution

The third proportional to 334,377 and 730,962 is: 1,597,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,377 : 730,962 = 730,962 : x
  2. Step 2: Convert to fraction form
    334,377/730,962 = 730,962/x
  3. Step 3: Cross multiply
    334,377x = 730,962 × 730,962
  4. Step 4: Simplify right side
    334,377x = 534,305,445,444
  5. Step 5: Solve for x
    x = 534,305,445,444/334,377
  6. Step 6: Final answer
    x = 1,597,913.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.