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Finding the Third Proportional to 409,642.50 and 838,968

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Solution

The third proportional to 409,642.50 and 838,968 is: 1,718,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,642.50 : 838,968 = 838,968 : x
  2. Step 2: Convert to fraction form
    409,642.50/838,968 = 838,968/x
  3. Step 3: Cross multiply
    409,642.50x = 838,968 × 838,968
  4. Step 4: Simplify right side
    409,642.50x = 703,867,305,024
  5. Step 5: Solve for x
    x = 703,867,305,024/409,642.50
  6. Step 6: Final answer
    x = 1,718,247.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.