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Finding the Third Proportional to 438,618 and 661,167

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Solution

The third proportional to 438,618 and 661,167 is: 996,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,618 : 661,167 = 661,167 : x
  2. Step 2: Convert to fraction form
    438,618/661,167 = 661,167/x
  3. Step 3: Cross multiply
    438,618x = 661,167 × 661,167
  4. Step 4: Simplify right side
    438,618x = 437,141,801,889
  5. Step 5: Solve for x
    x = 437,141,801,889/438,618
  6. Step 6: Final answer
    x = 996,634.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.