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Finding the Third Proportional to 387,215 and 833,761

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Solution

The third proportional to 387,215 and 833,761 is: 1,795,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,215 : 833,761 = 833,761 : x
  2. Step 2: Convert to fraction form
    387,215/833,761 = 833,761/x
  3. Step 3: Cross multiply
    387,215x = 833,761 × 833,761
  4. Step 4: Simplify right side
    387,215x = 695,157,405,121
  5. Step 5: Solve for x
    x = 695,157,405,121/387,215
  6. Step 6: Final answer
    x = 1,795,274.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.