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Finding the Third Proportional to 366,828 and 864,558

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Solution

The third proportional to 366,828 and 864,558 is: 2,037,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,828 : 864,558 = 864,558 : x
  2. Step 2: Convert to fraction form
    366,828/864,558 = 864,558/x
  3. Step 3: Cross multiply
    366,828x = 864,558 × 864,558
  4. Step 4: Simplify right side
    366,828x = 747,460,535,364
  5. Step 5: Solve for x
    x = 747,460,535,364/366,828
  6. Step 6: Final answer
    x = 2,037,632.17

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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.