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Finding the Third Proportional to 343.41 and 763.59

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Solution

The third proportional to 343.41 and 763.59 is: 1,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.41 : 763.59 = 763.59 : x
  2. Step 2: Convert to fraction form
    343.41/763.59 = 763.59/x
  3. Step 3: Cross multiply
    343.41x = 763.59 × 763.59
  4. Step 4: Simplify right side
    343.41x = 583,075.42
  5. Step 5: Solve for x
    x = 583,075.42/343.41
  6. Step 6: Final answer
    x = 1,697.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.