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Finding the Third Proportional to 239,116 and 524,672

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Solution

The third proportional to 239,116 and 524,672 is: 1,151,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,116 : 524,672 = 524,672 : x
  2. Step 2: Convert to fraction form
    239,116/524,672 = 524,672/x
  3. Step 3: Cross multiply
    239,116x = 524,672 × 524,672
  4. Step 4: Simplify right side
    239,116x = 275,280,707,584
  5. Step 5: Solve for x
    x = 275,280,707,584/239,116
  6. Step 6: Final answer
    x = 1,151,243.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.