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Finding the Third Proportional to 413,616.75 and 569,573.25

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Solution

The third proportional to 413,616.75 and 569,573.25 is: 784,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,616.75 : 569,573.25 = 569,573.25 : x
  2. Step 2: Convert to fraction form
    413,616.75/569,573.25 = 569,573.25/x
  3. Step 3: Cross multiply
    413,616.75x = 569,573.25 × 569,573.25
  4. Step 4: Simplify right side
    413,616.75x = 324,413,687,115.56
  5. Step 5: Solve for x
    x = 324,413,687,115.56/413,616.75
  6. Step 6: Final answer
    x = 784,334.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.