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Finding the Third Proportional to 239,114 and 524,668

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Solution

The third proportional to 239,114 and 524,668 is: 1,151,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,114 : 524,668 = 524,668 : x
  2. Step 2: Convert to fraction form
    239,114/524,668 = 524,668/x
  3. Step 3: Cross multiply
    239,114x = 524,668 × 524,668
  4. Step 4: Simplify right side
    239,114x = 275,276,510,224
  5. Step 5: Solve for x
    x = 275,276,510,224/239,114
  6. Step 6: Final answer
    x = 1,151,235.44

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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.