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Finding the Third Proportional to 694,837.50 and 1,038,165.75

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Solution

The third proportional to 694,837.50 and 1,038,165.75 is: 1,551,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,837.50 : 1,038,165.75 = 1,038,165.75 : x
  2. Step 2: Convert to fraction form
    694,837.50/1,038,165.75 = 1,038,165.75/x
  3. Step 3: Cross multiply
    694,837.50x = 1,038,165.75 × 1,038,165.75
  4. Step 4: Simplify right side
    694,837.50x = 1,077,788,124,473.06
  5. Step 5: Solve for x
    x = 1,077,788,124,473.06/694,837.50
  6. Step 6: Final answer
    x = 1,551,136.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.