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Finding the Third Proportional to 343,443 and 737,670

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Solution

The third proportional to 343,443 and 737,670 is: 1,584,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,443 : 737,670 = 737,670 : x
  2. Step 2: Convert to fraction form
    343,443/737,670 = 737,670/x
  3. Step 3: Cross multiply
    343,443x = 737,670 × 737,670
  4. Step 4: Simplify right side
    343,443x = 544,157,028,900
  5. Step 5: Solve for x
    x = 544,157,028,900/343,443
  6. Step 6: Final answer
    x = 1,584,417.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.