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Finding the Third Proportional to 202,618 and 440,913

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Solution

The third proportional to 202,618 and 440,913 is: 959,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,618 : 440,913 = 440,913 : x
  2. Step 2: Convert to fraction form
    202,618/440,913 = 440,913/x
  3. Step 3: Cross multiply
    202,618x = 440,913 × 440,913
  4. Step 4: Simplify right side
    202,618x = 194,404,273,569
  5. Step 5: Solve for x
    x = 194,404,273,569/202,618
  6. Step 6: Final answer
    x = 959,462.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.