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Finding the Third Proportional to 349,265.75 and 763,912

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Solution

The third proportional to 349,265.75 and 763,912 is: 1,670,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,265.75 : 763,912 = 763,912 : x
  2. Step 2: Convert to fraction form
    349,265.75/763,912 = 763,912/x
  3. Step 3: Cross multiply
    349,265.75x = 763,912 × 763,912
  4. Step 4: Simplify right side
    349,265.75x = 583,561,543,744
  5. Step 5: Solve for x
    x = 583,561,543,744/349,265.75
  6. Step 6: Final answer
    x = 1,670,823.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.