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Finding the Third Proportional to 387,104 and 833,532

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Solution

The third proportional to 387,104 and 833,532 is: 1,794,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,104 : 833,532 = 833,532 : x
  2. Step 2: Convert to fraction form
    387,104/833,532 = 833,532/x
  3. Step 3: Cross multiply
    387,104x = 833,532 × 833,532
  4. Step 4: Simplify right side
    387,104x = 694,775,595,024
  5. Step 5: Solve for x
    x = 694,775,595,024/387,104
  6. Step 6: Final answer
    x = 1,794,803.45

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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.