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Finding the Third Proportional to 338,706 and 730,872

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Solution

The third proportional to 338,706 and 730,872 is: 1,577,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,706 : 730,872 = 730,872 : x
  2. Step 2: Convert to fraction form
    338,706/730,872 = 730,872/x
  3. Step 3: Cross multiply
    338,706x = 730,872 × 730,872
  4. Step 4: Simplify right side
    338,706x = 534,173,880,384
  5. Step 5: Solve for x
    x = 534,173,880,384/338,706
  6. Step 6: Final answer
    x = 1,577,101.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.