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Finding the Third Proportional to 291,627 and 441,514.13

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Solution

The third proportional to 291,627 and 441,514.13 is: 668,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,627 : 441,514.13 = 441,514.13 : x
  2. Step 2: Convert to fraction form
    291,627/441,514.13 = 441,514.13/x
  3. Step 3: Cross multiply
    291,627x = 441,514.13 × 441,514.13
  4. Step 4: Simplify right side
    291,627x = 194,934,722,574.52
  5. Step 5: Solve for x
    x = 194,934,722,574.52/291,627
  6. Step 6: Final answer
    x = 668,438.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.