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Finding the Third Proportional to 359,889.75 and 787,576.50

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Solution

The third proportional to 359,889.75 and 787,576.50 is: 1,723,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,889.75 : 787,576.50 = 787,576.50 : x
  2. Step 2: Convert to fraction form
    359,889.75/787,576.50 = 787,576.50/x
  3. Step 3: Cross multiply
    359,889.75x = 787,576.50 × 787,576.50
  4. Step 4: Simplify right side
    359,889.75x = 620,276,743,352.25
  5. Step 5: Solve for x
    x = 620,276,743,352.25/359,889.75
  6. Step 6: Final answer
    x = 1,723,518.78

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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.