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Finding the Third Proportional to 441,020 and 659,802

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Solution

The third proportional to 441,020 and 659,802 is: 987,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,020 : 659,802 = 659,802 : x
  2. Step 2: Convert to fraction form
    441,020/659,802 = 659,802/x
  3. Step 3: Cross multiply
    441,020x = 659,802 × 659,802
  4. Step 4: Simplify right side
    441,020x = 435,338,679,204
  5. Step 5: Solve for x
    x = 435,338,679,204/441,020
  6. Step 6: Final answer
    x = 987,117.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.