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Finding the Third Proportional to 517,182 and 802,837.50

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Solution

The third proportional to 517,182 and 802,837.50 is: 1,246,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,182 : 802,837.50 = 802,837.50 : x
  2. Step 2: Convert to fraction form
    517,182/802,837.50 = 802,837.50/x
  3. Step 3: Cross multiply
    517,182x = 802,837.50 × 802,837.50
  4. Step 4: Simplify right side
    517,182x = 644,548,051,406.25
  5. Step 5: Solve for x
    x = 644,548,051,406.25/517,182
  6. Step 6: Final answer
    x = 1,246,269.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.