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Finding the Third Proportional to 362,802 and 847,202

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Solution

The third proportional to 362,802 and 847,202 is: 1,978,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,802 : 847,202 = 847,202 : x
  2. Step 2: Convert to fraction form
    362,802/847,202 = 847,202/x
  3. Step 3: Cross multiply
    362,802x = 847,202 × 847,202
  4. Step 4: Simplify right side
    362,802x = 717,751,228,804
  5. Step 5: Solve for x
    x = 717,751,228,804/362,802
  6. Step 6: Final answer
    x = 1,978,355.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.