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Finding the Third Proportional to 359,014.50 and 545,982.75

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Solution

The third proportional to 359,014.50 and 545,982.75 is: 830,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,014.50 : 545,982.75 = 545,982.75 : x
  2. Step 2: Convert to fraction form
    359,014.50/545,982.75 = 545,982.75/x
  3. Step 3: Cross multiply
    359,014.50x = 545,982.75 × 545,982.75
  4. Step 4: Simplify right side
    359,014.50x = 298,097,163,297.56
  5. Step 5: Solve for x
    x = 298,097,163,297.56/359,014.50
  6. Step 6: Final answer
    x = 830,320.68

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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.