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Finding the Third Proportional to 344,253 and 568,902

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Solution

The third proportional to 344,253 and 568,902 is: 940,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,253 : 568,902 = 568,902 : x
  2. Step 2: Convert to fraction form
    344,253/568,902 = 568,902/x
  3. Step 3: Cross multiply
    344,253x = 568,902 × 568,902
  4. Step 4: Simplify right side
    344,253x = 323,649,485,604
  5. Step 5: Solve for x
    x = 323,649,485,604/344,253
  6. Step 6: Final answer
    x = 940,150.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.