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Finding the Third Proportional to 239,142 and 524,724

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Solution

The third proportional to 239,142 and 524,724 is: 1,151,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,142 : 524,724 = 524,724 : x
  2. Step 2: Convert to fraction form
    239,142/524,724 = 524,724/x
  3. Step 3: Cross multiply
    239,142x = 524,724 × 524,724
  4. Step 4: Simplify right side
    239,142x = 275,335,276,176
  5. Step 5: Solve for x
    x = 275,335,276,176/239,142
  6. Step 6: Final answer
    x = 1,151,346.38

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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.