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Finding the Third Proportional to 437,533 and 674,967

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Solution

The third proportional to 437,533 and 674,967 is: 1,041,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,533 : 674,967 = 674,967 : x
  2. Step 2: Convert to fraction form
    437,533/674,967 = 674,967/x
  3. Step 3: Cross multiply
    437,533x = 674,967 × 674,967
  4. Step 4: Simplify right side
    437,533x = 455,580,451,089
  5. Step 5: Solve for x
    x = 455,580,451,089/437,533
  6. Step 6: Final answer
    x = 1,041,248.21

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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.