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Finding the Third Proportional to 323,190 and 698,004

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Solution

The third proportional to 323,190 and 698,004 is: 1,507,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,190 : 698,004 = 698,004 : x
  2. Step 2: Convert to fraction form
    323,190/698,004 = 698,004/x
  3. Step 3: Cross multiply
    323,190x = 698,004 × 698,004
  4. Step 4: Simplify right side
    323,190x = 487,209,584,016
  5. Step 5: Solve for x
    x = 487,209,584,016/323,190
  6. Step 6: Final answer
    x = 1,507,502.04

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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.