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Finding the Third Proportional to 239,324 and 375,462

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Solution

The third proportional to 239,324 and 375,462 is: 589,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,324 : 375,462 = 375,462 : x
  2. Step 2: Convert to fraction form
    239,324/375,462 = 375,462/x
  3. Step 3: Cross multiply
    239,324x = 375,462 × 375,462
  4. Step 4: Simplify right side
    239,324x = 140,971,713,444
  5. Step 5: Solve for x
    x = 140,971,713,444/239,324
  6. Step 6: Final answer
    x = 589,041.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.