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Finding the Third Proportional to 410,656.50 and 635,586.75

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Solution

The third proportional to 410,656.50 and 635,586.75 is: 983,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,656.50 : 635,586.75 = 635,586.75 : x
  2. Step 2: Convert to fraction form
    410,656.50/635,586.75 = 635,586.75/x
  3. Step 3: Cross multiply
    410,656.50x = 635,586.75 × 635,586.75
  4. Step 4: Simplify right side
    410,656.50x = 403,970,516,775.56
  5. Step 5: Solve for x
    x = 403,970,516,775.56/410,656.50
  6. Step 6: Final answer
    x = 983,718.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.