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Finding the Third Proportional to 508,846 and 691,054

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Solution

The third proportional to 508,846 and 691,054 is: 938,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,846 : 691,054 = 691,054 : x
  2. Step 2: Convert to fraction form
    508,846/691,054 = 691,054/x
  3. Step 3: Cross multiply
    508,846x = 691,054 × 691,054
  4. Step 4: Simplify right side
    508,846x = 477,555,630,916
  5. Step 5: Solve for x
    x = 477,555,630,916/508,846
  6. Step 6: Final answer
    x = 938,507.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.