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Finding the Third Proportional to 561,996.56 and 843,012.84

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Solution

The third proportional to 561,996.56 and 843,012.84 is: 1,264,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,996.56 : 843,012.84 = 843,012.84 : x
  2. Step 2: Convert to fraction form
    561,996.56/843,012.84 = 843,012.84/x
  3. Step 3: Cross multiply
    561,996.56x = 843,012.84 × 843,012.84
  4. Step 4: Simplify right side
    561,996.56x = 710,670,654,727.46
  5. Step 5: Solve for x
    x = 710,670,654,727.46/561,996.56
  6. Step 6: Final answer
    x = 1,264,546.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.