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Finding the Third Proportional to 317,524 and 437,406

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Solution

The third proportional to 317,524 and 437,406 is: 602,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,524 : 437,406 = 437,406 : x
  2. Step 2: Convert to fraction form
    317,524/437,406 = 437,406/x
  3. Step 3: Cross multiply
    317,524x = 437,406 × 437,406
  4. Step 4: Simplify right side
    317,524x = 191,324,008,836
  5. Step 5: Solve for x
    x = 191,324,008,836/317,524
  6. Step 6: Final answer
    x = 602,549.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.