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Finding the Third Proportional to 276,810.50 and 415,216

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Solution

The third proportional to 276,810.50 and 415,216 is: 622,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,810.50 : 415,216 = 415,216 : x
  2. Step 2: Convert to fraction form
    276,810.50/415,216 = 415,216/x
  3. Step 3: Cross multiply
    276,810.50x = 415,216 × 415,216
  4. Step 4: Simplify right side
    276,810.50x = 172,404,326,656
  5. Step 5: Solve for x
    x = 172,404,326,656/276,810.50
  6. Step 6: Final answer
    x = 622,824.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.