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Finding the Third Proportional to 307,530 and 467,514

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Solution

The third proportional to 307,530 and 467,514 is: 710,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,530 : 467,514 = 467,514 : x
  2. Step 2: Convert to fraction form
    307,530/467,514 = 467,514/x
  3. Step 3: Cross multiply
    307,530x = 467,514 × 467,514
  4. Step 4: Simplify right side
    307,530x = 218,569,340,196
  5. Step 5: Solve for x
    x = 218,569,340,196/307,530
  6. Step 6: Final answer
    x = 710,725.26

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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.