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Finding the Third Proportional to 387,209 and 833,749

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Solution

The third proportional to 387,209 and 833,749 is: 1,795,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,209 : 833,749 = 833,749 : x
  2. Step 2: Convert to fraction form
    387,209/833,749 = 833,749/x
  3. Step 3: Cross multiply
    387,209x = 833,749 × 833,749
  4. Step 4: Simplify right side
    387,209x = 695,137,395,001
  5. Step 5: Solve for x
    x = 695,137,395,001/387,209
  6. Step 6: Final answer
    x = 1,795,251.13

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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.