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Finding the Third Proportional to 301,398.47 and 466,270.17

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Solution

The third proportional to 301,398.47 and 466,270.17 is: 721,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,398.47 : 466,270.17 = 466,270.17 : x
  2. Step 2: Convert to fraction form
    301,398.47/466,270.17 = 466,270.17/x
  3. Step 3: Cross multiply
    301,398.47x = 466,270.17 × 466,270.17
  4. Step 4: Simplify right side
    301,398.47x = 217,407,873,180.34
  5. Step 5: Solve for x
    x = 217,407,873,180.34/301,398.47
  6. Step 6: Final answer
    x = 721,330.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.