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Finding the Third Proportional to 437,520 and 935,704

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Solution

The third proportional to 437,520 and 935,704 is: 2,001,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,520 : 935,704 = 935,704 : x
  2. Step 2: Convert to fraction form
    437,520/935,704 = 935,704/x
  3. Step 3: Cross multiply
    437,520x = 935,704 × 935,704
  4. Step 4: Simplify right side
    437,520x = 875,541,975,616
  5. Step 5: Solve for x
    x = 875,541,975,616/437,520
  6. Step 6: Final answer
    x = 2,001,147.32

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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.