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Finding the Third Proportional to 349,768.13 and 513,172.13

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Solution

The third proportional to 349,768.13 and 513,172.13 is: 752,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,768.13 : 513,172.13 = 513,172.13 : x
  2. Step 2: Convert to fraction form
    349,768.13/513,172.13 = 513,172.13/x
  3. Step 3: Cross multiply
    349,768.13x = 513,172.13 × 513,172.13
  4. Step 4: Simplify right side
    349,768.13x = 263,345,629,877.02
  5. Step 5: Solve for x
    x = 263,345,629,877.02/349,768.13
  6. Step 6: Final answer
    x = 752,914.89

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Why These Related Problems?

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