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Finding the Third Proportional to 368,262 and 806,814

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Solution

The third proportional to 368,262 and 806,814 is: 1,767,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,262 : 806,814 = 806,814 : x
  2. Step 2: Convert to fraction form
    368,262/806,814 = 806,814/x
  3. Step 3: Cross multiply
    368,262x = 806,814 × 806,814
  4. Step 4: Simplify right side
    368,262x = 650,948,830,596
  5. Step 5: Solve for x
    x = 650,948,830,596/368,262
  6. Step 6: Final answer
    x = 1,767,624.22

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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.