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Finding the Third Proportional to 287,617.50 and 619,383.38

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Solution

The third proportional to 287,617.50 and 619,383.38 is: 1,333,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,617.50 : 619,383.38 = 619,383.38 : x
  2. Step 2: Convert to fraction form
    287,617.50/619,383.38 = 619,383.38/x
  3. Step 3: Cross multiply
    287,617.50x = 619,383.38 × 619,383.38
  4. Step 4: Simplify right side
    287,617.50x = 383,635,765,226.39
  5. Step 5: Solve for x
    x = 383,635,765,226.39/287,617.50
  6. Step 6: Final answer
    x = 1,333,840.14

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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.