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Finding the Third Proportional to 239,528 and 518,926

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Solution

The third proportional to 239,528 and 518,926 is: 1,124,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,528 : 518,926 = 518,926 : x
  2. Step 2: Convert to fraction form
    239,528/518,926 = 518,926/x
  3. Step 3: Cross multiply
    239,528x = 518,926 × 518,926
  4. Step 4: Simplify right side
    239,528x = 269,284,193,476
  5. Step 5: Solve for x
    x = 269,284,193,476/239,528
  6. Step 6: Final answer
    x = 1,124,228.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.