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Finding the Third Proportional to 337,656 and 522,663

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Solution

The third proportional to 337,656 and 522,663 is: 809,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,656 : 522,663 = 522,663 : x
  2. Step 2: Convert to fraction form
    337,656/522,663 = 522,663/x
  3. Step 3: Cross multiply
    337,656x = 522,663 × 522,663
  4. Step 4: Simplify right side
    337,656x = 273,176,611,569
  5. Step 5: Solve for x
    x = 273,176,611,569/337,656
  6. Step 6: Final answer
    x = 809,038.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.