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Finding the Third Proportional to 568,452.94 and 830,498.06

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Solution

The third proportional to 568,452.94 and 830,498.06 is: 1,213,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,452.94 : 830,498.06 = 830,498.06 : x
  2. Step 2: Convert to fraction form
    568,452.94/830,498.06 = 830,498.06/x
  3. Step 3: Cross multiply
    568,452.94x = 830,498.06 × 830,498.06
  4. Step 4: Simplify right side
    568,452.94x = 689,727,031,816.25
  5. Step 5: Solve for x
    x = 689,727,031,816.25/568,452.94
  6. Step 6: Final answer
    x = 1,213,340.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.