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Finding the Third Proportional to 658,514.25 and 1,335,195

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Solution

The third proportional to 658,514.25 and 1,335,195 is: 2,707,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,514.25 : 1,335,195 = 1,335,195 : x
  2. Step 2: Convert to fraction form
    658,514.25/1,335,195 = 1,335,195/x
  3. Step 3: Cross multiply
    658,514.25x = 1,335,195 × 1,335,195
  4. Step 4: Simplify right side
    658,514.25x = 1,782,745,688,025
  5. Step 5: Solve for x
    x = 1,782,745,688,025/658,514.25
  6. Step 6: Final answer
    x = 2,707,224.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.