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Finding the Third Proportional to 295,930.69 and 652,186.13

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Solution

The third proportional to 295,930.69 and 652,186.13 is: 1,437,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,930.69 : 652,186.13 = 652,186.13 : x
  2. Step 2: Convert to fraction form
    295,930.69/652,186.13 = 652,186.13/x
  3. Step 3: Cross multiply
    295,930.69x = 652,186.13 × 652,186.13
  4. Step 4: Simplify right side
    295,930.69x = 425,346,741,642.52
  5. Step 5: Solve for x
    x = 425,346,741,642.52/295,930.69
  6. Step 6: Final answer
    x = 1,437,318.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.