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Finding the Third Proportional to 368,420 and 806,977

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Solution

The third proportional to 368,420 and 806,977 is: 1,767,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,420 : 806,977 = 806,977 : x
  2. Step 2: Convert to fraction form
    368,420/806,977 = 806,977/x
  3. Step 3: Cross multiply
    368,420x = 806,977 × 806,977
  4. Step 4: Simplify right side
    368,420x = 651,211,878,529
  5. Step 5: Solve for x
    x = 651,211,878,529/368,420
  6. Step 6: Final answer
    x = 1,767,580.15

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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.