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Finding the Third Proportional to 357,211.50 and 552,614.25

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Solution

The third proportional to 357,211.50 and 552,614.25 is: 854,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,211.50 : 552,614.25 = 552,614.25 : x
  2. Step 2: Convert to fraction form
    357,211.50/552,614.25 = 552,614.25/x
  3. Step 3: Cross multiply
    357,211.50x = 552,614.25 × 552,614.25
  4. Step 4: Simplify right side
    357,211.50x = 305,382,509,303.06
  5. Step 5: Solve for x
    x = 305,382,509,303.06/357,211.50
  6. Step 6: Final answer
    x = 854,906.71

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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.