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Finding the Third Proportional to 262,618 and 576,296

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Solution

The third proportional to 262,618 and 576,296 is: 1,264,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,618 : 576,296 = 576,296 : x
  2. Step 2: Convert to fraction form
    262,618/576,296 = 576,296/x
  3. Step 3: Cross multiply
    262,618x = 576,296 × 576,296
  4. Step 4: Simplify right side
    262,618x = 332,117,079,616
  5. Step 5: Solve for x
    x = 332,117,079,616/262,618
  6. Step 6: Final answer
    x = 1,264,639.44

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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.