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Finding the Third Proportional to 350,892 and 761,400

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Solution

The third proportional to 350,892 and 761,400 is: 1,652,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,892 : 761,400 = 761,400 : x
  2. Step 2: Convert to fraction form
    350,892/761,400 = 761,400/x
  3. Step 3: Cross multiply
    350,892x = 761,400 × 761,400
  4. Step 4: Simplify right side
    350,892x = 579,729,960,000
  5. Step 5: Solve for x
    x = 579,729,960,000/350,892
  6. Step 6: Final answer
    x = 1,652,160.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.