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Finding the Third Proportional to 301,014 and 466,347

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Solution

The third proportional to 301,014 and 466,347 is: 722,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,014 : 466,347 = 466,347 : x
  2. Step 2: Convert to fraction form
    301,014/466,347 = 466,347/x
  3. Step 3: Cross multiply
    301,014x = 466,347 × 466,347
  4. Step 4: Simplify right side
    301,014x = 217,479,524,409
  5. Step 5: Solve for x
    x = 217,479,524,409/301,014
  6. Step 6: Final answer
    x = 722,489.73

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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.