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Finding the Third Proportional to 364,352 and 791,744

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Solution

The third proportional to 364,352 and 791,744 is: 1,720,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,352 : 791,744 = 791,744 : x
  2. Step 2: Convert to fraction form
    364,352/791,744 = 791,744/x
  3. Step 3: Cross multiply
    364,352x = 791,744 × 791,744
  4. Step 4: Simplify right side
    364,352x = 626,858,561,536
  5. Step 5: Solve for x
    x = 626,858,561,536/364,352
  6. Step 6: Final answer
    x = 1,720,475.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.