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Finding the Third Proportional to 344,034 and 755,892

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Solution

The third proportional to 344,034 and 755,892 is: 1,660,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,034 : 755,892 = 755,892 : x
  2. Step 2: Convert to fraction form
    344,034/755,892 = 755,892/x
  3. Step 3: Cross multiply
    344,034x = 755,892 × 755,892
  4. Step 4: Simplify right side
    344,034x = 571,372,715,664
  5. Step 5: Solve for x
    x = 571,372,715,664/344,034
  6. Step 6: Final answer
    x = 1,660,803.05

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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.