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Finding the Third Proportional to 307,027.13 and 465,310.69

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Solution

The third proportional to 307,027.13 and 465,310.69 is: 705,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,027.13 : 465,310.69 = 465,310.69 : x
  2. Step 2: Convert to fraction form
    307,027.13/465,310.69 = 465,310.69/x
  3. Step 3: Cross multiply
    307,027.13x = 465,310.69 × 465,310.69
  4. Step 4: Simplify right side
    307,027.13x = 216,514,035,901.72
  5. Step 5: Solve for x
    x = 216,514,035,901.72/307,027.13
  6. Step 6: Final answer
    x = 705,195.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.