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Finding the Third Proportional to 359,760 and 555,864

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Solution

The third proportional to 359,760 and 555,864 is: 858,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,760 : 555,864 = 555,864 : x
  2. Step 2: Convert to fraction form
    359,760/555,864 = 555,864/x
  3. Step 3: Cross multiply
    359,760x = 555,864 × 555,864
  4. Step 4: Simplify right side
    359,760x = 308,984,786,496
  5. Step 5: Solve for x
    x = 308,984,786,496/359,760
  6. Step 6: Final answer
    x = 858,863.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.