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Finding the Third Proportional to 265,670 and 394,743

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Solution

The third proportional to 265,670 and 394,743 is: 586,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,670 : 394,743 = 394,743 : x
  2. Step 2: Convert to fraction form
    265,670/394,743 = 394,743/x
  3. Step 3: Cross multiply
    265,670x = 394,743 × 394,743
  4. Step 4: Simplify right side
    265,670x = 155,822,036,049
  5. Step 5: Solve for x
    x = 155,822,036,049/265,670
  6. Step 6: Final answer
    x = 586,524.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.