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Finding the Third Proportional to 349,039.13 and 512,466.75

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Solution

The third proportional to 349,039.13 and 512,466.75 is: 752,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,039.13 : 512,466.75 = 512,466.75 : x
  2. Step 2: Convert to fraction form
    349,039.13/512,466.75 = 512,466.75/x
  3. Step 3: Cross multiply
    349,039.13x = 512,466.75 × 512,466.75
  4. Step 4: Simplify right side
    349,039.13x = 262,622,169,855.56
  5. Step 5: Solve for x
    x = 262,622,169,855.56/349,039.13
  6. Step 6: Final answer
    x = 752,414.70

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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.