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Finding the Third Proportional to 323,302 and 698,228

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Solution

The third proportional to 323,302 and 698,228 is: 1,507,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,302 : 698,228 = 698,228 : x
  2. Step 2: Convert to fraction form
    323,302/698,228 = 698,228/x
  3. Step 3: Cross multiply
    323,302x = 698,228 × 698,228
  4. Step 4: Simplify right side
    323,302x = 487,522,339,984
  5. Step 5: Solve for x
    x = 487,522,339,984/323,302
  6. Step 6: Final answer
    x = 1,507,947.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.