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Finding the Third Proportional to 277,800.38 and 420,573.38

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Solution

The third proportional to 277,800.38 and 420,573.38 is: 636,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,800.38 : 420,573.38 = 420,573.38 : x
  2. Step 2: Convert to fraction form
    277,800.38/420,573.38 = 420,573.38/x
  3. Step 3: Cross multiply
    277,800.38x = 420,573.38 × 420,573.38
  4. Step 4: Simplify right side
    277,800.38x = 176,881,963,758.89
  5. Step 5: Solve for x
    x = 176,881,963,758.89/277,800.38
  6. Step 6: Final answer
    x = 636,723.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.