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Finding the Third Proportional to 551,924 and 809,708

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Solution

The third proportional to 551,924 and 809,708 is: 1,187,893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,924 : 809,708 = 809,708 : x
  2. Step 2: Convert to fraction form
    551,924/809,708 = 809,708/x
  3. Step 3: Cross multiply
    551,924x = 809,708 × 809,708
  4. Step 4: Simplify right side
    551,924x = 655,627,045,264
  5. Step 5: Solve for x
    x = 655,627,045,264/551,924
  6. Step 6: Final answer
    x = 1,187,893.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.