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Finding the Third Proportional to 319,231.13 and 466,570.13

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Solution

The third proportional to 319,231.13 and 466,570.13 is: 681,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,231.13 : 466,570.13 = 466,570.13 : x
  2. Step 2: Convert to fraction form
    319,231.13/466,570.13 = 466,570.13/x
  3. Step 3: Cross multiply
    319,231.13x = 466,570.13 × 466,570.13
  4. Step 4: Simplify right side
    319,231.13x = 217,687,681,542.52
  5. Step 5: Solve for x
    x = 217,687,681,542.52/319,231.13
  6. Step 6: Final answer
    x = 681,912.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.