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Finding the Third Proportional to 344,606 and 730,126

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Solution

The third proportional to 344,606 and 730,126 is: 1,546,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,606 : 730,126 = 730,126 : x
  2. Step 2: Convert to fraction form
    344,606/730,126 = 730,126/x
  3. Step 3: Cross multiply
    344,606x = 730,126 × 730,126
  4. Step 4: Simplify right side
    344,606x = 533,083,975,876
  5. Step 5: Solve for x
    x = 533,083,975,876/344,606
  6. Step 6: Final answer
    x = 1,546,937.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.