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Finding the Third Proportional to 568,144.50 and 1,243,180.50

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Solution

The third proportional to 568,144.50 and 1,243,180.50 is: 2,720,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,144.50 : 1,243,180.50 = 1,243,180.50 : x
  2. Step 2: Convert to fraction form
    568,144.50/1,243,180.50 = 1,243,180.50/x
  3. Step 3: Cross multiply
    568,144.50x = 1,243,180.50 × 1,243,180.50
  4. Step 4: Simplify right side
    568,144.50x = 1,545,497,755,580.25
  5. Step 5: Solve for x
    x = 1,545,497,755,580.25/568,144.50
  6. Step 6: Final answer
    x = 2,720,254.72

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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.