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Finding the Third Proportional to 387,483 and 821,059.50

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Solution

The third proportional to 387,483 and 821,059.50 is: 1,739,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,483 : 821,059.50 = 821,059.50 : x
  2. Step 2: Convert to fraction form
    387,483/821,059.50 = 821,059.50/x
  3. Step 3: Cross multiply
    387,483x = 821,059.50 × 821,059.50
  4. Step 4: Simplify right side
    387,483x = 674,138,702,540.25
  5. Step 5: Solve for x
    x = 674,138,702,540.25/387,483
  6. Step 6: Final answer
    x = 1,739,789.11

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.