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Finding the Third Proportional to 561,768 and 794,884

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Solution

The third proportional to 561,768 and 794,884 is: 1,124,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,768 : 794,884 = 794,884 : x
  2. Step 2: Convert to fraction form
    561,768/794,884 = 794,884/x
  3. Step 3: Cross multiply
    561,768x = 794,884 × 794,884
  4. Step 4: Simplify right side
    561,768x = 631,840,573,456
  5. Step 5: Solve for x
    x = 631,840,573,456/561,768
  6. Step 6: Final answer
    x = 1,124,735.79

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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.