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Finding the Third Proportional to 465,781 and 659,215

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Solution

The third proportional to 465,781 and 659,215 is: 932,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,781 : 659,215 = 659,215 : x
  2. Step 2: Convert to fraction form
    465,781/659,215 = 659,215/x
  3. Step 3: Cross multiply
    465,781x = 659,215 × 659,215
  4. Step 4: Simplify right side
    465,781x = 434,564,416,225
  5. Step 5: Solve for x
    x = 434,564,416,225/465,781
  6. Step 6: Final answer
    x = 932,980.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.