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Finding the Third Proportional to 403,772 and 588,131

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Solution

The third proportional to 403,772 and 588,131 is: 856,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,772 : 588,131 = 588,131 : x
  2. Step 2: Convert to fraction form
    403,772/588,131 = 588,131/x
  3. Step 3: Cross multiply
    403,772x = 588,131 × 588,131
  4. Step 4: Simplify right side
    403,772x = 345,898,073,161
  5. Step 5: Solve for x
    x = 345,898,073,161/403,772
  6. Step 6: Final answer
    x = 856,666.81

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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.