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Finding the Third Proportional to 437,448 and 674,829

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Solution

The third proportional to 437,448 and 674,829 is: 1,041,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,448 : 674,829 = 674,829 : x
  2. Step 2: Convert to fraction form
    437,448/674,829 = 674,829/x
  3. Step 3: Cross multiply
    437,448x = 674,829 × 674,829
  4. Step 4: Simplify right side
    437,448x = 455,394,179,241
  5. Step 5: Solve for x
    x = 455,394,179,241/437,448
  6. Step 6: Final answer
    x = 1,041,024.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.