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Finding the Third Proportional to 277,455.38 and 416,185.59

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Solution

The third proportional to 277,455.38 and 416,185.59 is: 624,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,455.38 : 416,185.59 = 416,185.59 : x
  2. Step 2: Convert to fraction form
    277,455.38/416,185.59 = 416,185.59/x
  3. Step 3: Cross multiply
    277,455.38x = 416,185.59 × 416,185.59
  4. Step 4: Simplify right side
    277,455.38x = 173,210,448,445.04
  5. Step 5: Solve for x
    x = 173,210,448,445.04/277,455.38
  6. Step 6: Final answer
    x = 624,282.19

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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.