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Finding the Third Proportional to 305,882 and 465,566

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Solution

The third proportional to 305,882 and 465,566 is: 708,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,882 : 465,566 = 465,566 : x
  2. Step 2: Convert to fraction form
    305,882/465,566 = 465,566/x
  3. Step 3: Cross multiply
    305,882x = 465,566 × 465,566
  4. Step 4: Simplify right side
    305,882x = 216,751,700,356
  5. Step 5: Solve for x
    x = 216,751,700,356/305,882
  6. Step 6: Final answer
    x = 708,612.15

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