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Finding the Third Proportional to 287,971.50 and 387,667

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Solution

The third proportional to 287,971.50 and 387,667 is: 521,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,971.50 : 387,667 = 387,667 : x
  2. Step 2: Convert to fraction form
    287,971.50/387,667 = 387,667/x
  3. Step 3: Cross multiply
    287,971.50x = 387,667 × 387,667
  4. Step 4: Simplify right side
    287,971.50x = 150,285,702,889
  5. Step 5: Solve for x
    x = 150,285,702,889/287,971.50
  6. Step 6: Final answer
    x = 521,877.00

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.