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Finding the Third Proportional to 339,216 and 498,452

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Solution

The third proportional to 339,216 and 498,452 is: 732,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,216 : 498,452 = 498,452 : x
  2. Step 2: Convert to fraction form
    339,216/498,452 = 498,452/x
  3. Step 3: Cross multiply
    339,216x = 498,452 × 498,452
  4. Step 4: Simplify right side
    339,216x = 248,454,396,304
  5. Step 5: Solve for x
    x = 248,454,396,304/339,216
  6. Step 6: Final answer
    x = 732,437.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.