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Finding the Third Proportional to 227,486 and 531,617

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Solution

The third proportional to 227,486 and 531,617 is: 1,242,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,486 : 531,617 = 531,617 : x
  2. Step 2: Convert to fraction form
    227,486/531,617 = 531,617/x
  3. Step 3: Cross multiply
    227,486x = 531,617 × 531,617
  4. Step 4: Simplify right side
    227,486x = 282,616,634,689
  5. Step 5: Solve for x
    x = 282,616,634,689/227,486
  6. Step 6: Final answer
    x = 1,242,347.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.