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Finding the Third Proportional to 386,488.13 and 568,171.69

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Solution

The third proportional to 386,488.13 and 568,171.69 is: 835,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,488.13 : 568,171.69 = 568,171.69 : x
  2. Step 2: Convert to fraction form
    386,488.13/568,171.69 = 568,171.69/x
  3. Step 3: Cross multiply
    386,488.13x = 568,171.69 × 568,171.69
  4. Step 4: Simplify right side
    386,488.13x = 322,819,066,476.60
  5. Step 5: Solve for x
    x = 322,819,066,476.60/386,488.13
  6. Step 6: Final answer
    x = 835,262.57

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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.