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Finding the Third Proportional to 262,216 and 572,048

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Solution

The third proportional to 262,216 and 572,048 is: 1,247,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,216 : 572,048 = 572,048 : x
  2. Step 2: Convert to fraction form
    262,216/572,048 = 572,048/x
  3. Step 3: Cross multiply
    262,216x = 572,048 × 572,048
  4. Step 4: Simplify right side
    262,216x = 327,238,914,304
  5. Step 5: Solve for x
    x = 327,238,914,304/262,216
  6. Step 6: Final answer
    x = 1,247,974.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.