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Finding the Third Proportional to 387,211 and 833,753

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Solution

The third proportional to 387,211 and 833,753 is: 1,795,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,211 : 833,753 = 833,753 : x
  2. Step 2: Convert to fraction form
    387,211/833,753 = 833,753/x
  3. Step 3: Cross multiply
    387,211x = 833,753 × 833,753
  4. Step 4: Simplify right side
    387,211x = 695,144,065,009
  5. Step 5: Solve for x
    x = 695,144,065,009/387,211
  6. Step 6: Final answer
    x = 1,795,259.08

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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.