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Finding the Third Proportional to 191,995 and 418,439

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Solution

The third proportional to 191,995 and 418,439 is: 911,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,995 : 418,439 = 418,439 : x
  2. Step 2: Convert to fraction form
    191,995/418,439 = 418,439/x
  3. Step 3: Cross multiply
    191,995x = 418,439 × 418,439
  4. Step 4: Simplify right side
    191,995x = 175,091,196,721
  5. Step 5: Solve for x
    x = 175,091,196,721/191,995
  6. Step 6: Final answer
    x = 911,957.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.