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Finding the Third Proportional to 349,740 and 513,013

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Solution

The third proportional to 349,740 and 513,013 is: 752,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,740 : 513,013 = 513,013 : x
  2. Step 2: Convert to fraction form
    349,740/513,013 = 513,013/x
  3. Step 3: Cross multiply
    349,740x = 513,013 × 513,013
  4. Step 4: Simplify right side
    349,740x = 263,182,338,169
  5. Step 5: Solve for x
    x = 263,182,338,169/349,740
  6. Step 6: Final answer
    x = 752,508.54

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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.