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Finding the Third Proportional to 677,702 and 903,481

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Solution

The third proportional to 677,702 and 903,481 is: 1,204,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,702 : 903,481 = 903,481 : x
  2. Step 2: Convert to fraction form
    677,702/903,481 = 903,481/x
  3. Step 3: Cross multiply
    677,702x = 903,481 × 903,481
  4. Step 4: Simplify right side
    677,702x = 816,277,917,361
  5. Step 5: Solve for x
    x = 816,277,917,361/677,702
  6. Step 6: Final answer
    x = 1,204,479.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.