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Finding the Third Proportional to 262,622 and 576,304

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Solution

The third proportional to 262,622 and 576,304 is: 1,264,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,622 : 576,304 = 576,304 : x
  2. Step 2: Convert to fraction form
    262,622/576,304 = 576,304/x
  3. Step 3: Cross multiply
    262,622x = 576,304 × 576,304
  4. Step 4: Simplify right side
    262,622x = 332,126,300,416
  5. Step 5: Solve for x
    x = 332,126,300,416/262,622
  6. Step 6: Final answer
    x = 1,264,655.29

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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.