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Finding the Third Proportional to 322,203 and 473,439

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Solution

The third proportional to 322,203 and 473,439 is: 695,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,203 : 473,439 = 473,439 : x
  2. Step 2: Convert to fraction form
    322,203/473,439 = 473,439/x
  3. Step 3: Cross multiply
    322,203x = 473,439 × 473,439
  4. Step 4: Simplify right side
    322,203x = 224,144,486,721
  5. Step 5: Solve for x
    x = 224,144,486,721/322,203
  6. Step 6: Final answer
    x = 695,662.32

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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.