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Finding the Third Proportional to 360,945 and 786,042

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Solution

The third proportional to 360,945 and 786,042 is: 1,711,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,945 : 786,042 = 786,042 : x
  2. Step 2: Convert to fraction form
    360,945/786,042 = 786,042/x
  3. Step 3: Cross multiply
    360,945x = 786,042 × 786,042
  4. Step 4: Simplify right side
    360,945x = 617,862,025,764
  5. Step 5: Solve for x
    x = 617,862,025,764/360,945
  6. Step 6: Final answer
    x = 1,711,789.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.