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Finding the Third Proportional to 191,460 and 408,984

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Solution

The third proportional to 191,460 and 408,984 is: 873,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,460 : 408,984 = 408,984 : x
  2. Step 2: Convert to fraction form
    191,460/408,984 = 408,984/x
  3. Step 3: Cross multiply
    191,460x = 408,984 × 408,984
  4. Step 4: Simplify right side
    191,460x = 167,267,912,256
  5. Step 5: Solve for x
    x = 167,267,912,256/191,460
  6. Step 6: Final answer
    x = 873,644.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.