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Finding the Third Proportional to 219,618 and 474,012

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Solution

The third proportional to 219,618 and 474,012 is: 1,023,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,618 : 474,012 = 474,012 : x
  2. Step 2: Convert to fraction form
    219,618/474,012 = 474,012/x
  3. Step 3: Cross multiply
    219,618x = 474,012 × 474,012
  4. Step 4: Simplify right side
    219,618x = 224,687,376,144
  5. Step 5: Solve for x
    x = 224,687,376,144/219,618
  6. Step 6: Final answer
    x = 1,023,082.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.