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Finding the Third Proportional to 194,906 and 417,460

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Solution

The third proportional to 194,906 and 417,460 is: 894,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906 : 417,460 = 417,460 : x
  2. Step 2: Convert to fraction form
    194,906/417,460 = 417,460/x
  3. Step 3: Cross multiply
    194,906x = 417,460 × 417,460
  4. Step 4: Simplify right side
    194,906x = 174,272,851,600
  5. Step 5: Solve for x
    x = 174,272,851,600/194,906
  6. Step 6: Final answer
    x = 894,137.95

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Why These Related Problems?

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