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Finding the Third Proportional to 322,091.25 and 473,295

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Solution

The third proportional to 322,091.25 and 473,295 is: 695,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,091.25 : 473,295 = 473,295 : x
  2. Step 2: Convert to fraction form
    322,091.25/473,295 = 473,295/x
  3. Step 3: Cross multiply
    322,091.25x = 473,295 × 473,295
  4. Step 4: Simplify right side
    322,091.25x = 224,008,157,025
  5. Step 5: Solve for x
    x = 224,008,157,025/322,091.25
  6. Step 6: Final answer
    x = 695,480.42

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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.