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Finding the Third Proportional to 282,821.63 and 609,919.88

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Solution

The third proportional to 282,821.63 and 609,919.88 is: 1,315,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,821.63 : 609,919.88 = 609,919.88 : x
  2. Step 2: Convert to fraction form
    282,821.63/609,919.88 = 609,919.88/x
  3. Step 3: Cross multiply
    282,821.63x = 609,919.88 × 609,919.88
  4. Step 4: Simplify right side
    282,821.63x = 372,002,253,920.02
  5. Step 5: Solve for x
    x = 372,002,253,920.02/282,821.63
  6. Step 6: Final answer
    x = 1,315,324.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.