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Finding the Third Proportional to 442,835.50 and 687,583

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Solution

The third proportional to 442,835.50 and 687,583 is: 1,067,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,835.50 : 687,583 = 687,583 : x
  2. Step 2: Convert to fraction form
    442,835.50/687,583 = 687,583/x
  3. Step 3: Cross multiply
    442,835.50x = 687,583 × 687,583
  4. Step 4: Simplify right side
    442,835.50x = 472,770,381,889
  5. Step 5: Solve for x
    x = 472,770,381,889/442,835.50
  6. Step 6: Final answer
    x = 1,067,598.20

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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.