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Finding the Third Proportional to 432,355.50 and 649,917

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Solution

The third proportional to 432,355.50 and 649,917 is: 976,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,355.50 : 649,917 = 649,917 : x
  2. Step 2: Convert to fraction form
    432,355.50/649,917 = 649,917/x
  3. Step 3: Cross multiply
    432,355.50x = 649,917 × 649,917
  4. Step 4: Simplify right side
    432,355.50x = 422,392,106,889
  5. Step 5: Solve for x
    x = 422,392,106,889/432,355.50
  6. Step 6: Final answer
    x = 976,955.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.