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Finding the Third Proportional to 299,522 and 658,948

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Solution

The third proportional to 299,522 and 658,948 is: 1,449,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,522 : 658,948 = 658,948 : x
  2. Step 2: Convert to fraction form
    299,522/658,948 = 658,948/x
  3. Step 3: Cross multiply
    299,522x = 658,948 × 658,948
  4. Step 4: Simplify right side
    299,522x = 434,212,466,704
  5. Step 5: Solve for x
    x = 434,212,466,704/299,522
  6. Step 6: Final answer
    x = 1,449,684.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.