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Finding the Third Proportional to 240,445 and 522,686

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Solution

The third proportional to 240,445 and 522,686 is: 1,136,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,445 : 522,686 = 522,686 : x
  2. Step 2: Convert to fraction form
    240,445/522,686 = 522,686/x
  3. Step 3: Cross multiply
    240,445x = 522,686 × 522,686
  4. Step 4: Simplify right side
    240,445x = 273,200,654,596
  5. Step 5: Solve for x
    x = 273,200,654,596/240,445
  6. Step 6: Final answer
    x = 1,136,229.30

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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.