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Finding the Third Proportional to 359,640.75 and 536,998.50

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Solution

The third proportional to 359,640.75 and 536,998.50 is: 801,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,640.75 : 536,998.50 = 536,998.50 : x
  2. Step 2: Convert to fraction form
    359,640.75/536,998.50 = 536,998.50/x
  3. Step 3: Cross multiply
    359,640.75x = 536,998.50 × 536,998.50
  4. Step 4: Simplify right side
    359,640.75x = 288,367,389,002.25
  5. Step 5: Solve for x
    x = 288,367,389,002.25/359,640.75
  6. Step 6: Final answer
    x = 801,820.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.