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Finding the Third Proportional to 269,938.69 and 590,725.13

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Solution

The third proportional to 269,938.69 and 590,725.13 is: 1,292,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,938.69 : 590,725.13 = 590,725.13 : x
  2. Step 2: Convert to fraction form
    269,938.69/590,725.13 = 590,725.13/x
  3. Step 3: Cross multiply
    269,938.69x = 590,725.13 × 590,725.13
  4. Step 4: Simplify right side
    269,938.69x = 348,956,173,306.27
  5. Step 5: Solve for x
    x = 348,956,173,306.27/269,938.69
  6. Step 6: Final answer
    x = 1,292,723.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.