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Finding the Third Proportional to 301,399.88 and 466,272.38

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Solution

The third proportional to 301,399.88 and 466,272.38 is: 721,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,399.88 : 466,272.38 = 466,272.38 : x
  2. Step 2: Convert to fraction form
    301,399.88/466,272.38 = 466,272.38/x
  3. Step 3: Cross multiply
    301,399.88x = 466,272.38 × 466,272.38
  4. Step 4: Simplify right side
    301,399.88x = 217,409,927,688.14
  5. Step 5: Solve for x
    x = 217,409,927,688.14/301,399.88
  6. Step 6: Final answer
    x = 721,333.83

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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.