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Finding the Third Proportional to 287,691.75 and 605,718

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Solution

The third proportional to 287,691.75 and 605,718 is: 1,275,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,691.75 : 605,718 = 605,718 : x
  2. Step 2: Convert to fraction form
    287,691.75/605,718 = 605,718/x
  3. Step 3: Cross multiply
    287,691.75x = 605,718 × 605,718
  4. Step 4: Simplify right side
    287,691.75x = 366,894,295,524
  5. Step 5: Solve for x
    x = 366,894,295,524/287,691.75
  6. Step 6: Final answer
    x = 1,275,303.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.