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Finding the Third Proportional to 191,014 and 404,792

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Solution

The third proportional to 191,014 and 404,792 is: 857,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,014 : 404,792 = 404,792 : x
  2. Step 2: Convert to fraction form
    191,014/404,792 = 404,792/x
  3. Step 3: Cross multiply
    191,014x = 404,792 × 404,792
  4. Step 4: Simplify right side
    191,014x = 163,856,563,264
  5. Step 5: Solve for x
    x = 163,856,563,264/191,014
  6. Step 6: Final answer
    x = 857,824.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.