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Finding the Third Proportional to 282,034 and 407,491

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Solution

The third proportional to 282,034 and 407,491 is: 588,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,034 : 407,491 = 407,491 : x
  2. Step 2: Convert to fraction form
    282,034/407,491 = 407,491/x
  3. Step 3: Cross multiply
    282,034x = 407,491 × 407,491
  4. Step 4: Simplify right side
    282,034x = 166,048,915,081
  5. Step 5: Solve for x
    x = 166,048,915,081/282,034
  6. Step 6: Final answer
    x = 588,754.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.