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Finding the Third Proportional to 301,418 and 466,295

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Solution

The third proportional to 301,418 and 466,295 is: 721,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,418 : 466,295 = 466,295 : x
  2. Step 2: Convert to fraction form
    301,418/466,295 = 466,295/x
  3. Step 3: Cross multiply
    301,418x = 466,295 × 466,295
  4. Step 4: Simplify right side
    301,418x = 217,431,027,025
  5. Step 5: Solve for x
    x = 217,431,027,025/301,418
  6. Step 6: Final answer
    x = 721,360.46

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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.