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Finding the Third Proportional to 285,733.97 and 620,724.94

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Solution

The third proportional to 285,733.97 and 620,724.94 is: 1,348,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,733.97 : 620,724.94 = 620,724.94 : x
  2. Step 2: Convert to fraction form
    285,733.97/620,724.94 = 620,724.94/x
  3. Step 3: Cross multiply
    285,733.97x = 620,724.94 × 620,724.94
  4. Step 4: Simplify right side
    285,733.97x = 385,299,448,034.38
  5. Step 5: Solve for x
    x = 385,299,448,034.38/285,733.97
  6. Step 6: Final answer
    x = 1,348,455.17

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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.