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Finding the Third Proportional to 561,766 and 794,882

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Solution

The third proportional to 561,766 and 794,882 is: 1,124,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,766 : 794,882 = 794,882 : x
  2. Step 2: Convert to fraction form
    561,766/794,882 = 794,882/x
  3. Step 3: Cross multiply
    561,766x = 794,882 × 794,882
  4. Step 4: Simplify right side
    561,766x = 631,837,393,924
  5. Step 5: Solve for x
    x = 631,837,393,924/561,766
  6. Step 6: Final answer
    x = 1,124,734.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.