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Finding the Third Proportional to 263,328 and 566,618

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Solution

The third proportional to 263,328 and 566,618 is: 1,219,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,328 : 566,618 = 566,618 : x
  2. Step 2: Convert to fraction form
    263,328/566,618 = 566,618/x
  3. Step 3: Cross multiply
    263,328x = 566,618 × 566,618
  4. Step 4: Simplify right side
    263,328x = 321,055,957,924
  5. Step 5: Solve for x
    x = 321,055,957,924/263,328
  6. Step 6: Final answer
    x = 1,219,224.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.