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Finding the Third Proportional to 457,902 and 700,452

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Solution

The third proportional to 457,902 and 700,452 is: 1,071,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,902 : 700,452 = 700,452 : x
  2. Step 2: Convert to fraction form
    457,902/700,452 = 700,452/x
  3. Step 3: Cross multiply
    457,902x = 700,452 × 700,452
  4. Step 4: Simplify right side
    457,902x = 490,633,004,304
  5. Step 5: Solve for x
    x = 490,633,004,304/457,902
  6. Step 6: Final answer
    x = 1,071,480.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.