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Finding the Third Proportional to 387,105 and 833,533.50

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Solution

The third proportional to 387,105 and 833,533.50 is: 1,794,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,105 : 833,533.50 = 833,533.50 : x
  2. Step 2: Convert to fraction form
    387,105/833,533.50 = 833,533.50/x
  3. Step 3: Cross multiply
    387,105x = 833,533.50 × 833,533.50
  4. Step 4: Simplify right side
    387,105x = 694,778,095,622.25
  5. Step 5: Solve for x
    x = 694,778,095,622.25/387,105
  6. Step 6: Final answer
    x = 1,794,805.27

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