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Finding the Third Proportional to 239,136 and 524,712

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Solution

The third proportional to 239,136 and 524,712 is: 1,151,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,136 : 524,712 = 524,712 : x
  2. Step 2: Convert to fraction form
    239,136/524,712 = 524,712/x
  3. Step 3: Cross multiply
    239,136x = 524,712 × 524,712
  4. Step 4: Simplify right side
    239,136x = 275,322,682,944
  5. Step 5: Solve for x
    x = 275,322,682,944/239,136
  6. Step 6: Final answer
    x = 1,151,322.61

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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.