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Finding the Third Proportional to 363,539 and 744,706

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Solution

The third proportional to 363,539 and 744,706 is: 1,525,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,539 : 744,706 = 744,706 : x
  2. Step 2: Convert to fraction form
    363,539/744,706 = 744,706/x
  3. Step 3: Cross multiply
    363,539x = 744,706 × 744,706
  4. Step 4: Simplify right side
    363,539x = 554,587,026,436
  5. Step 5: Solve for x
    x = 554,587,026,436/363,539
  6. Step 6: Final answer
    x = 1,525,522.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.