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Finding the Third Proportional to 403,790.06 and 588,157.88

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Solution

The third proportional to 403,790.06 and 588,157.88 is: 856,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,790.06 : 588,157.88 = 588,157.88 : x
  2. Step 2: Convert to fraction form
    403,790.06/588,157.88 = 588,157.88/x
  3. Step 3: Cross multiply
    403,790.06x = 588,157.88 × 588,157.88
  4. Step 4: Simplify right side
    403,790.06x = 345,929,685,924.52
  5. Step 5: Solve for x
    x = 345,929,685,924.52/403,790.06
  6. Step 6: Final answer
    x = 856,706.78

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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.