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Finding the Third Proportional to 349,768.13 and 513,170.44

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Solution

The third proportional to 349,768.13 and 513,170.44 is: 752,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,768.13 : 513,170.44 = 513,170.44 : x
  2. Step 2: Convert to fraction form
    349,768.13/513,170.44 = 513,170.44/x
  3. Step 3: Cross multiply
    349,768.13x = 513,170.44 × 513,170.44
  4. Step 4: Simplify right side
    349,768.13x = 263,343,897,923.94
  5. Step 5: Solve for x
    x = 263,343,897,923.94/349,768.13
  6. Step 6: Final answer
    x = 752,909.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.