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Finding the Third Proportional to 362,804 and 847,207

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Solution

The third proportional to 362,804 and 847,207 is: 1,978,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,804 : 847,207 = 847,207 : x
  2. Step 2: Convert to fraction form
    362,804/847,207 = 847,207/x
  3. Step 3: Cross multiply
    362,804x = 847,207 × 847,207
  4. Step 4: Simplify right side
    362,804x = 717,759,700,849
  5. Step 5: Solve for x
    x = 717,759,700,849/362,804
  6. Step 6: Final answer
    x = 1,978,367.66

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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.