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Finding the Third Proportional to 362,805 and 748,898

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Solution

The third proportional to 362,805 and 748,898 is: 1,545,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,805 : 748,898 = 748,898 : x
  2. Step 2: Convert to fraction form
    362,805/748,898 = 748,898/x
  3. Step 3: Cross multiply
    362,805x = 748,898 × 748,898
  4. Step 4: Simplify right side
    362,805x = 560,848,214,404
  5. Step 5: Solve for x
    x = 560,848,214,404/362,805
  6. Step 6: Final answer
    x = 1,545,866.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.