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Finding the Third Proportional to 199,029 and 420,522

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Solution

The third proportional to 199,029 and 420,522 is: 888,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,029 : 420,522 = 420,522 : x
  2. Step 2: Convert to fraction form
    199,029/420,522 = 420,522/x
  3. Step 3: Cross multiply
    199,029x = 420,522 × 420,522
  4. Step 4: Simplify right side
    199,029x = 176,838,752,484
  5. Step 5: Solve for x
    x = 176,838,752,484/199,029
  6. Step 6: Final answer
    x = 888,507.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.