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Finding the Third Proportional to 366,948 and 808,392

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Solution

The third proportional to 366,948 and 808,392 is: 1,780,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,948 : 808,392 = 808,392 : x
  2. Step 2: Convert to fraction form
    366,948/808,392 = 808,392/x
  3. Step 3: Cross multiply
    366,948x = 808,392 × 808,392
  4. Step 4: Simplify right side
    366,948x = 653,497,625,664
  5. Step 5: Solve for x
    x = 653,497,625,664/366,948
  6. Step 6: Final answer
    x = 1,780,899.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.