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Finding the Third Proportional to 277,517.25 and 601,690.50

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Solution

The third proportional to 277,517.25 and 601,690.50 is: 1,304,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,517.25 : 601,690.50 = 601,690.50 : x
  2. Step 2: Convert to fraction form
    277,517.25/601,690.50 = 601,690.50/x
  3. Step 3: Cross multiply
    277,517.25x = 601,690.50 × 601,690.50
  4. Step 4: Simplify right side
    277,517.25x = 362,031,457,790.25
  5. Step 5: Solve for x
    x = 362,031,457,790.25/277,517.25
  6. Step 6: Final answer
    x = 1,304,536.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.