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Finding the Third Proportional to 321,348.94 and 472,078.13

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Solution

The third proportional to 321,348.94 and 472,078.13 is: 693,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,348.94 : 472,078.13 = 472,078.13 : x
  2. Step 2: Convert to fraction form
    321,348.94/472,078.13 = 472,078.13/x
  3. Step 3: Cross multiply
    321,348.94x = 472,078.13 × 472,078.13
  4. Step 4: Simplify right side
    321,348.94x = 222,857,756,103.52
  5. Step 5: Solve for x
    x = 222,857,756,103.52/321,348.94
  6. Step 6: Final answer
    x = 693,507.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.