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Finding the Third Proportional to 652,369.50 and 918,684.50

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Solution

The third proportional to 652,369.50 and 918,684.50 is: 1,293,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,369.50 : 918,684.50 = 918,684.50 : x
  2. Step 2: Convert to fraction form
    652,369.50/918,684.50 = 918,684.50/x
  3. Step 3: Cross multiply
    652,369.50x = 918,684.50 × 918,684.50
  4. Step 4: Simplify right side
    652,369.50x = 843,981,210,540.25
  5. Step 5: Solve for x
    x = 843,981,210,540.25/652,369.50
  6. Step 6: Final answer
    x = 1,293,716.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.