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Finding the Third Proportional to 323,192 and 698,008

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Solution

The third proportional to 323,192 and 698,008 is: 1,507,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,192 : 698,008 = 698,008 : x
  2. Step 2: Convert to fraction form
    323,192/698,008 = 698,008/x
  3. Step 3: Cross multiply
    323,192x = 698,008 × 698,008
  4. Step 4: Simplify right side
    323,192x = 487,215,168,064
  5. Step 5: Solve for x
    x = 487,215,168,064/323,192
  6. Step 6: Final answer
    x = 1,507,509.99

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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.