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Finding the Third Proportional to 561,805.88 and 856,701.56

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Solution

The third proportional to 561,805.88 and 856,701.56 is: 1,306,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,805.88 : 856,701.56 = 856,701.56 : x
  2. Step 2: Convert to fraction form
    561,805.88/856,701.56 = 856,701.56/x
  3. Step 3: Cross multiply
    561,805.88x = 856,701.56 × 856,701.56
  4. Step 4: Simplify right side
    561,805.88x = 733,937,567,189.94
  5. Step 5: Solve for x
    x = 733,937,567,189.94/561,805.88
  6. Step 6: Final answer
    x = 1,306,389.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.