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Finding the Third Proportional to 187,834 and 407,516

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Solution

The third proportional to 187,834 and 407,516 is: 884,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,834 : 407,516 = 407,516 : x
  2. Step 2: Convert to fraction form
    187,834/407,516 = 407,516/x
  3. Step 3: Cross multiply
    187,834x = 407,516 × 407,516
  4. Step 4: Simplify right side
    187,834x = 166,069,290,256
  5. Step 5: Solve for x
    x = 166,069,290,256/187,834
  6. Step 6: Final answer
    x = 884,127.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.