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Finding the Third Proportional to 404,866 and 576,737

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Solution

The third proportional to 404,866 and 576,737 is: 821,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,866 : 576,737 = 576,737 : x
  2. Step 2: Convert to fraction form
    404,866/576,737 = 576,737/x
  3. Step 3: Cross multiply
    404,866x = 576,737 × 576,737
  4. Step 4: Simplify right side
    404,866x = 332,625,567,169
  5. Step 5: Solve for x
    x = 332,625,567,169/404,866
  6. Step 6: Final answer
    x = 821,569.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.