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Finding the Third Proportional to 305,862 and 658,596

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Solution

The third proportional to 305,862 and 658,596 is: 1,418,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862 : 658,596 = 658,596 : x
  2. Step 2: Convert to fraction form
    305,862/658,596 = 658,596/x
  3. Step 3: Cross multiply
    305,862x = 658,596 × 658,596
  4. Step 4: Simplify right side
    305,862x = 433,748,691,216
  5. Step 5: Solve for x
    x = 433,748,691,216/305,862
  6. Step 6: Final answer
    x = 1,418,118.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.