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Finding the Third Proportional to 366,826 and 864,553

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Solution

The third proportional to 366,826 and 864,553 is: 2,037,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,826 : 864,553 = 864,553 : x
  2. Step 2: Convert to fraction form
    366,826/864,553 = 864,553/x
  3. Step 3: Cross multiply
    366,826x = 864,553 × 864,553
  4. Step 4: Simplify right side
    366,826x = 747,451,889,809
  5. Step 5: Solve for x
    x = 747,451,889,809/366,826
  6. Step 6: Final answer
    x = 2,037,619.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.