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Finding the Third Proportional to 457,032 and 683,522

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Solution

The third proportional to 457,032 and 683,522 is: 1,022,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,032 : 683,522 = 683,522 : x
  2. Step 2: Convert to fraction form
    457,032/683,522 = 683,522/x
  3. Step 3: Cross multiply
    457,032x = 683,522 × 683,522
  4. Step 4: Simplify right side
    457,032x = 467,202,324,484
  5. Step 5: Solve for x
    x = 467,202,324,484/457,032
  6. Step 6: Final answer
    x = 1,022,252.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.