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Finding the Third Proportional to 265,982 and 398,968

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Solution

The third proportional to 265,982 and 398,968 is: 598,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,982 : 398,968 = 398,968 : x
  2. Step 2: Convert to fraction form
    265,982/398,968 = 398,968/x
  3. Step 3: Cross multiply
    265,982x = 398,968 × 398,968
  4. Step 4: Simplify right side
    265,982x = 159,175,465,024
  5. Step 5: Solve for x
    x = 159,175,465,024/265,982
  6. Step 6: Final answer
    x = 598,444.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.