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Finding the Third Proportional to 442,768 and 691,800

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Solution

The third proportional to 442,768 and 691,800 is: 1,080,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,768 : 691,800 = 691,800 : x
  2. Step 2: Convert to fraction form
    442,768/691,800 = 691,800/x
  3. Step 3: Cross multiply
    442,768x = 691,800 × 691,800
  4. Step 4: Simplify right side
    442,768x = 478,587,240,000
  5. Step 5: Solve for x
    x = 478,587,240,000/442,768
  6. Step 6: Final answer
    x = 1,080,898.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.