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Finding the Third Proportional to 307,488.38 and 675,514.13

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Solution

The third proportional to 307,488.38 and 675,514.13 is: 1,484,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,488.38 : 675,514.13 = 675,514.13 : x
  2. Step 2: Convert to fraction form
    307,488.38/675,514.13 = 675,514.13/x
  3. Step 3: Cross multiply
    307,488.38x = 675,514.13 × 675,514.13
  4. Step 4: Simplify right side
    307,488.38x = 456,319,333,074.52
  5. Step 5: Solve for x
    x = 456,319,333,074.52/307,488.38
  6. Step 6: Final answer
    x = 1,484,021.41

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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.