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Finding the Third Proportional to 305,908 and 466,638

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Solution

The third proportional to 305,908 and 466,638 is: 711,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,908 : 466,638 = 466,638 : x
  2. Step 2: Convert to fraction form
    305,908/466,638 = 466,638/x
  3. Step 3: Cross multiply
    305,908x = 466,638 × 466,638
  4. Step 4: Simplify right side
    305,908x = 217,751,023,044
  5. Step 5: Solve for x
    x = 217,751,023,044/305,908
  6. Step 6: Final answer
    x = 711,818.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.