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Finding the Third Proportional to 442,835 and 687,582

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Solution

The third proportional to 442,835 and 687,582 is: 1,067,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,835 : 687,582 = 687,582 : x
  2. Step 2: Convert to fraction form
    442,835/687,582 = 687,582/x
  3. Step 3: Cross multiply
    442,835x = 687,582 × 687,582
  4. Step 4: Simplify right side
    442,835x = 472,769,006,724
  5. Step 5: Solve for x
    x = 472,769,006,724/442,835
  6. Step 6: Final answer
    x = 1,067,596.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.