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Finding the Third Proportional to 437,523.75 and 935,739

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Solution

The third proportional to 437,523.75 and 935,739 is: 2,001,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,523.75 : 935,739 = 935,739 : x
  2. Step 2: Convert to fraction form
    437,523.75/935,739 = 935,739/x
  3. Step 3: Cross multiply
    437,523.75x = 935,739 × 935,739
  4. Step 4: Simplify right side
    437,523.75x = 875,607,476,121
  5. Step 5: Solve for x
    x = 875,607,476,121/437,523.75
  6. Step 6: Final answer
    x = 2,001,279.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.