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Finding the Third Proportional to 561,477 and 863,902

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Solution

The third proportional to 561,477 and 863,902 is: 1,329,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,477 : 863,902 = 863,902 : x
  2. Step 2: Convert to fraction form
    561,477/863,902 = 863,902/x
  3. Step 3: Cross multiply
    561,477x = 863,902 × 863,902
  4. Step 4: Simplify right side
    561,477x = 746,326,665,604
  5. Step 5: Solve for x
    x = 746,326,665,604/561,477
  6. Step 6: Final answer
    x = 1,329,220.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.