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Finding the Third Proportional to 197,866 and 466,618

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Solution

The third proportional to 197,866 and 466,618 is: 1,100,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,866 : 466,618 = 466,618 : x
  2. Step 2: Convert to fraction form
    197,866/466,618 = 466,618/x
  3. Step 3: Cross multiply
    197,866x = 466,618 × 466,618
  4. Step 4: Simplify right side
    197,866x = 217,732,357,924
  5. Step 5: Solve for x
    x = 217,732,357,924/197,866
  6. Step 6: Final answer
    x = 1,100,403.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.