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Finding the Third Proportional to 285,067.50 and 619,417.50

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Solution

The third proportional to 285,067.50 and 619,417.50 is: 1,345,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,067.50 : 619,417.50 = 619,417.50 : x
  2. Step 2: Convert to fraction form
    285,067.50/619,417.50 = 619,417.50/x
  3. Step 3: Cross multiply
    285,067.50x = 619,417.50 × 619,417.50
  4. Step 4: Simplify right side
    285,067.50x = 383,678,039,306.25
  5. Step 5: Solve for x
    x = 383,678,039,306.25/285,067.50
  6. Step 6: Final answer
    x = 1,345,919.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.