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Finding the Third Proportional to 349,744 and 769,472

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Solution

The third proportional to 349,744 and 769,472 is: 1,692,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,744 : 769,472 = 769,472 : x
  2. Step 2: Convert to fraction form
    349,744/769,472 = 769,472/x
  3. Step 3: Cross multiply
    349,744x = 769,472 × 769,472
  4. Step 4: Simplify right side
    349,744x = 592,087,158,784
  5. Step 5: Solve for x
    x = 592,087,158,784/349,744
  6. Step 6: Final answer
    x = 1,692,915.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.