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Finding the Third Proportional to 305,910 and 465,606

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Solution

The third proportional to 305,910 and 465,606 is: 708,669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,910 : 465,606 = 465,606 : x
  2. Step 2: Convert to fraction form
    305,910/465,606 = 465,606/x
  3. Step 3: Cross multiply
    305,910x = 465,606 × 465,606
  4. Step 4: Simplify right side
    305,910x = 216,788,947,236
  5. Step 5: Solve for x
    x = 216,788,947,236/305,910
  6. Step 6: Final answer
    x = 708,669.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.