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Finding the Third Proportional to 534,942 and 793,566

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Solution

The third proportional to 534,942 and 793,566 is: 1,177,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,942 : 793,566 = 793,566 : x
  2. Step 2: Convert to fraction form
    534,942/793,566 = 793,566/x
  3. Step 3: Cross multiply
    534,942x = 793,566 × 793,566
  4. Step 4: Simplify right side
    534,942x = 629,746,996,356
  5. Step 5: Solve for x
    x = 629,746,996,356/534,942
  6. Step 6: Final answer
    x = 1,177,224.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.