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Finding the Third Proportional to 362,884 and 758,816

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Solution

The third proportional to 362,884 and 758,816 is: 1,586,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,884 : 758,816 = 758,816 : x
  2. Step 2: Convert to fraction form
    362,884/758,816 = 758,816/x
  3. Step 3: Cross multiply
    362,884x = 758,816 × 758,816
  4. Step 4: Simplify right side
    362,884x = 575,801,721,856
  5. Step 5: Solve for x
    x = 575,801,721,856/362,884
  6. Step 6: Final answer
    x = 1,586,737.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.