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Finding the Third Proportional to 332,508 and 502,254

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Solution

The third proportional to 332,508 and 502,254 is: 758,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,508 : 502,254 = 502,254 : x
  2. Step 2: Convert to fraction form
    332,508/502,254 = 502,254/x
  3. Step 3: Cross multiply
    332,508x = 502,254 × 502,254
  4. Step 4: Simplify right side
    332,508x = 252,259,080,516
  5. Step 5: Solve for x
    x = 252,259,080,516/332,508
  6. Step 6: Final answer
    x = 758,655.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.