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Finding the Third Proportional to 301,263 and 466,772

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Solution

The third proportional to 301,263 and 466,772 is: 723,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,263 : 466,772 = 466,772 : x
  2. Step 2: Convert to fraction form
    301,263/466,772 = 466,772/x
  3. Step 3: Cross multiply
    301,263x = 466,772 × 466,772
  4. Step 4: Simplify right side
    301,263x = 217,876,099,984
  5. Step 5: Solve for x
    x = 217,876,099,984/301,263
  6. Step 6: Final answer
    x = 723,208.96

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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.