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Finding the Third Proportional to 368,253 and 806,769

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Solution

The third proportional to 368,253 and 806,769 is: 1,767,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,253 : 806,769 = 806,769 : x
  2. Step 2: Convert to fraction form
    368,253/806,769 = 806,769/x
  3. Step 3: Cross multiply
    368,253x = 806,769 × 806,769
  4. Step 4: Simplify right side
    368,253x = 650,876,219,361
  5. Step 5: Solve for x
    x = 650,876,219,361/368,253
  6. Step 6: Final answer
    x = 1,767,470.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.