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Finding the Third Proportional to 475,801 and 683,892

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Solution

The third proportional to 475,801 and 683,892 is: 982,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,801 : 683,892 = 683,892 : x
  2. Step 2: Convert to fraction form
    475,801/683,892 = 683,892/x
  3. Step 3: Cross multiply
    475,801x = 683,892 × 683,892
  4. Step 4: Simplify right side
    475,801x = 467,708,267,664
  5. Step 5: Solve for x
    x = 467,708,267,664/475,801
  6. Step 6: Final answer
    x = 982,991.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.