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Finding the Third Proportional to 568,301.91 and 1,206,656.16

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Solution

The third proportional to 568,301.91 and 1,206,656.16 is: 2,562,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,301.91 : 1,206,656.16 = 1,206,656.16 : x
  2. Step 2: Convert to fraction form
    568,301.91/1,206,656.16 = 1,206,656.16/x
  3. Step 3: Cross multiply
    568,301.91x = 1,206,656.16 × 1,206,656.16
  4. Step 4: Simplify right side
    568,301.91x = 1,456,019,079,416.02
  5. Step 5: Solve for x
    x = 1,456,019,079,416.02/568,301.91
  6. Step 6: Final answer
    x = 2,562,052.08

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Why These Related Problems?

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