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Finding the Third Proportional to 276,276 and 426,618

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Solution

The third proportional to 276,276 and 426,618 is: 658,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,276 : 426,618 = 426,618 : x
  2. Step 2: Convert to fraction form
    276,276/426,618 = 426,618/x
  3. Step 3: Cross multiply
    276,276x = 426,618 × 426,618
  4. Step 4: Simplify right side
    276,276x = 182,002,917,924
  5. Step 5: Solve for x
    x = 182,002,917,924/276,276
  6. Step 6: Final answer
    x = 658,772.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.