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Finding the Third Proportional to 316,198.69 and 465,922.13

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Solution

The third proportional to 316,198.69 and 465,922.13 is: 686,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,198.69 : 465,922.13 = 465,922.13 : x
  2. Step 2: Convert to fraction form
    316,198.69/465,922.13 = 465,922.13/x
  3. Step 3: Cross multiply
    316,198.69x = 465,922.13 × 465,922.13
  4. Step 4: Simplify right side
    316,198.69x = 217,083,426,564.52
  5. Step 5: Solve for x
    x = 217,083,426,564.52/316,198.69
  6. Step 6: Final answer
    x = 686,541.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.