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Finding the Third Proportional to 343,566 and 534,981

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Solution

The third proportional to 343,566 and 534,981 is: 833,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,566 : 534,981 = 534,981 : x
  2. Step 2: Convert to fraction form
    343,566/534,981 = 534,981/x
  3. Step 3: Cross multiply
    343,566x = 534,981 × 534,981
  4. Step 4: Simplify right side
    343,566x = 286,204,670,361
  5. Step 5: Solve for x
    x = 286,204,670,361/343,566
  6. Step 6: Final answer
    x = 833,041.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.