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Finding the Third Proportional to 349,926.75 and 511,768.13

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Solution

The third proportional to 349,926.75 and 511,768.13 is: 748,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,926.75 : 511,768.13 = 511,768.13 : x
  2. Step 2: Convert to fraction form
    349,926.75/511,768.13 = 511,768.13/x
  3. Step 3: Cross multiply
    349,926.75x = 511,768.13 × 511,768.13
  4. Step 4: Simplify right side
    349,926.75x = 261,906,613,766.02
  5. Step 5: Solve for x
    x = 261,906,613,766.02/349,926.75
  6. Step 6: Final answer
    x = 748,461.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.