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Finding the Third Proportional to 276,837.75 and 439,222.50

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Solution

The third proportional to 276,837.75 and 439,222.50 is: 696,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,837.75 : 439,222.50 = 439,222.50 : x
  2. Step 2: Convert to fraction form
    276,837.75/439,222.50 = 439,222.50/x
  3. Step 3: Cross multiply
    276,837.75x = 439,222.50 × 439,222.50
  4. Step 4: Simplify right side
    276,837.75x = 192,916,404,506.25
  5. Step 5: Solve for x
    x = 192,916,404,506.25/276,837.75
  6. Step 6: Final answer
    x = 696,857.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.