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Finding the Third Proportional to 517,072.50 and 802,674.75

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Solution

The third proportional to 517,072.50 and 802,674.75 is: 1,246,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,072.50 : 802,674.75 = 802,674.75 : x
  2. Step 2: Convert to fraction form
    517,072.50/802,674.75 = 802,674.75/x
  3. Step 3: Cross multiply
    517,072.50x = 802,674.75 × 802,674.75
  4. Step 4: Simplify right side
    517,072.50x = 644,286,754,287.56
  5. Step 5: Solve for x
    x = 644,286,754,287.56/517,072.50
  6. Step 6: Final answer
    x = 1,246,027.89

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Why These Related Problems?

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