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Finding the Third Proportional to 233,715.38 and 551,404.13

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Solution

The third proportional to 233,715.38 and 551,404.13 is: 1,300,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,715.38 : 551,404.13 = 551,404.13 : x
  2. Step 2: Convert to fraction form
    233,715.38/551,404.13 = 551,404.13/x
  3. Step 3: Cross multiply
    233,715.38x = 551,404.13 × 551,404.13
  4. Step 4: Simplify right side
    233,715.38x = 304,046,509,067.02
  5. Step 5: Solve for x
    x = 304,046,509,067.02/233,715.38
  6. Step 6: Final answer
    x = 1,300,926.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.