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Finding the Third Proportional to 400,112 and 604,452

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Solution

The third proportional to 400,112 and 604,452 is: 913,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,112 : 604,452 = 604,452 : x
  2. Step 2: Convert to fraction form
    400,112/604,452 = 604,452/x
  3. Step 3: Cross multiply
    400,112x = 604,452 × 604,452
  4. Step 4: Simplify right side
    400,112x = 365,362,220,304
  5. Step 5: Solve for x
    x = 365,362,220,304/400,112
  6. Step 6: Final answer
    x = 913,149.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.