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Finding the Third Proportional to 665,016.33 and 1,031,832.42

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Solution

The third proportional to 665,016.33 and 1,031,832.42 is: 1,600,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,016.33 : 1,031,832.42 = 1,031,832.42 : x
  2. Step 2: Convert to fraction form
    665,016.33/1,031,832.42 = 1,031,832.42/x
  3. Step 3: Cross multiply
    665,016.33x = 1,031,832.42 × 1,031,832.42
  4. Step 4: Simplify right side
    665,016.33x = 1,064,678,146,832.43
  5. Step 5: Solve for x
    x = 1,064,678,146,832.43/665,016.33
  6. Step 6: Final answer
    x = 1,600,980.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.