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Finding the Third Proportional to 568,302.19 and 1,206,656.44

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Solution

The third proportional to 568,302.19 and 1,206,656.44 is: 2,562,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,302.19 : 1,206,656.44 = 1,206,656.44 : x
  2. Step 2: Convert to fraction form
    568,302.19/1,206,656.44 = 1,206,656.44/x
  3. Step 3: Cross multiply
    568,302.19x = 1,206,656.44 × 1,206,656.44
  4. Step 4: Simplify right side
    568,302.19x = 1,456,019,758,160.19
  5. Step 5: Solve for x
    x = 1,456,019,758,160.19/568,302.19
  6. Step 6: Final answer
    x = 2,562,052.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.