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Finding the Third Proportional to 359,638.31 and 787,004.44

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Solution

The third proportional to 359,638.31 and 787,004.44 is: 1,722,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,638.31 : 787,004.44 = 787,004.44 : x
  2. Step 2: Convert to fraction form
    359,638.31/787,004.44 = 787,004.44/x
  3. Step 3: Cross multiply
    359,638.31x = 787,004.44 × 787,004.44
  4. Step 4: Simplify right side
    359,638.31x = 619,375,984,644.69
  5. Step 5: Solve for x
    x = 619,375,984,644.69/359,638.31
  6. Step 6: Final answer
    x = 1,722,219.14

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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.