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Finding the Third Proportional to 695,823.75 and 979,853.63

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Solution

The third proportional to 695,823.75 and 979,853.63 is: 1,379,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,823.75 : 979,853.63 = 979,853.63 : x
  2. Step 2: Convert to fraction form
    695,823.75/979,853.63 = 979,853.63/x
  3. Step 3: Cross multiply
    695,823.75x = 979,853.63 × 979,853.63
  4. Step 4: Simplify right side
    695,823.75x = 960,113,126,425.64
  5. Step 5: Solve for x
    x = 960,113,126,425.64/695,823.75
  6. Step 6: Final answer
    x = 1,379,822.30

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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.