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Finding the Third Proportional to 301,176 and 466,344

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Solution

The third proportional to 301,176 and 466,344 is: 722,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,176 : 466,344 = 466,344 : x
  2. Step 2: Convert to fraction form
    301,176/466,344 = 466,344/x
  3. Step 3: Cross multiply
    301,176x = 466,344 × 466,344
  4. Step 4: Simplify right side
    301,176x = 217,476,726,336
  5. Step 5: Solve for x
    x = 217,476,726,336/301,176
  6. Step 6: Final answer
    x = 722,091.82

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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.