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Finding the Third Proportional to 511,706 and 802,677

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Solution

The third proportional to 511,706 and 802,677 is: 1,259,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,706 : 802,677 = 802,677 : x
  2. Step 2: Convert to fraction form
    511,706/802,677 = 802,677/x
  3. Step 3: Cross multiply
    511,706x = 802,677 × 802,677
  4. Step 4: Simplify right side
    511,706x = 644,290,366,329
  5. Step 5: Solve for x
    x = 644,290,366,329/511,706
  6. Step 6: Final answer
    x = 1,259,102.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.