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Finding the Third Proportional to 465,864 and 703,224

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Solution

The third proportional to 465,864 and 703,224 is: 1,061,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,864 : 703,224 = 703,224 : x
  2. Step 2: Convert to fraction form
    465,864/703,224 = 703,224/x
  3. Step 3: Cross multiply
    465,864x = 703,224 × 703,224
  4. Step 4: Simplify right side
    465,864x = 494,523,994,176
  5. Step 5: Solve for x
    x = 494,523,994,176/465,864
  6. Step 6: Final answer
    x = 1,061,520.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.