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Finding the Third Proportional to 314,496 and 419,001

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Solution

The third proportional to 314,496 and 419,001 is: 558,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,496 : 419,001 = 419,001 : x
  2. Step 2: Convert to fraction form
    314,496/419,001 = 419,001/x
  3. Step 3: Cross multiply
    314,496x = 419,001 × 419,001
  4. Step 4: Simplify right side
    314,496x = 175,561,838,001
  5. Step 5: Solve for x
    x = 175,561,838,001/314,496
  6. Step 6: Final answer
    x = 558,232.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.