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Finding the Third Proportional to 301,434 and 466,320

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Solution

The third proportional to 301,434 and 466,320 is: 721,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,434 : 466,320 = 466,320 : x
  2. Step 2: Convert to fraction form
    301,434/466,320 = 466,320/x
  3. Step 3: Cross multiply
    301,434x = 466,320 × 466,320
  4. Step 4: Simplify right side
    301,434x = 217,454,342,400
  5. Step 5: Solve for x
    x = 217,454,342,400/301,434
  6. Step 6: Final answer
    x = 721,399.52

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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.