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Finding the Third Proportional to 404,481 and 877,716

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Solution

The third proportional to 404,481 and 877,716 is: 1,904,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,481 : 877,716 = 877,716 : x
  2. Step 2: Convert to fraction form
    404,481/877,716 = 877,716/x
  3. Step 3: Cross multiply
    404,481x = 877,716 × 877,716
  4. Step 4: Simplify right side
    404,481x = 770,385,376,656
  5. Step 5: Solve for x
    x = 770,385,376,656/404,481
  6. Step 6: Final answer
    x = 1,904,626.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.