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Finding the Third Proportional to 277,156.69 and 416,967.75

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Solution

The third proportional to 277,156.69 and 416,967.75 is: 627,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,156.69 : 416,967.75 = 416,967.75 : x
  2. Step 2: Convert to fraction form
    277,156.69/416,967.75 = 416,967.75/x
  3. Step 3: Cross multiply
    277,156.69x = 416,967.75 × 416,967.75
  4. Step 4: Simplify right side
    277,156.69x = 173,862,104,540.06
  5. Step 5: Solve for x
    x = 173,862,104,540.06/277,156.69
  6. Step 6: Final answer
    x = 627,306.19

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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.