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Finding the Third Proportional to 287,610.75 and 619,380

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Solution

The third proportional to 287,610.75 and 619,380 is: 1,333,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,610.75 : 619,380 = 619,380 : x
  2. Step 2: Convert to fraction form
    287,610.75/619,380 = 619,380/x
  3. Step 3: Cross multiply
    287,610.75x = 619,380 × 619,380
  4. Step 4: Simplify right side
    287,610.75x = 383,631,584,400
  5. Step 5: Solve for x
    x = 383,631,584,400/287,610.75
  6. Step 6: Final answer
    x = 1,333,856.90

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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.