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Finding the Third Proportional to 442,855 and 687,611

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Solution

The third proportional to 442,855 and 687,611 is: 1,067,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,855 : 687,611 = 687,611 : x
  2. Step 2: Convert to fraction form
    442,855/687,611 = 687,611/x
  3. Step 3: Cross multiply
    442,855x = 687,611 × 687,611
  4. Step 4: Simplify right side
    442,855x = 472,808,887,321
  5. Step 5: Solve for x
    x = 472,808,887,321/442,855
  6. Step 6: Final answer
    x = 1,067,638.14

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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.