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Finding the Third Proportional to 359,600 and 545,961

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Solution

The third proportional to 359,600 and 545,961 is: 828,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,600 : 545,961 = 545,961 : x
  2. Step 2: Convert to fraction form
    359,600/545,961 = 545,961/x
  3. Step 3: Cross multiply
    359,600x = 545,961 × 545,961
  4. Step 4: Simplify right side
    359,600x = 298,073,413,521
  5. Step 5: Solve for x
    x = 298,073,413,521/359,600
  6. Step 6: Final answer
    x = 828,902.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.