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Finding the Third Proportional to 323,304 and 698,232

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Solution

The third proportional to 323,304 and 698,232 is: 1,507,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,304 : 698,232 = 698,232 : x
  2. Step 2: Convert to fraction form
    323,304/698,232 = 698,232/x
  3. Step 3: Cross multiply
    323,304x = 698,232 × 698,232
  4. Step 4: Simplify right side
    323,304x = 487,527,925,824
  5. Step 5: Solve for x
    x = 487,527,925,824/323,304
  6. Step 6: Final answer
    x = 1,507,955.13

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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.