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Finding the Third Proportional to 402.19 and 873.56

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Solution

The third proportional to 402.19 and 873.56 is: 1,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 873.56 = 873.56 : x
  2. Step 2: Convert to fraction form
    402.19/873.56 = 873.56/x
  3. Step 3: Cross multiply
    402.19x = 873.56 × 873.56
  4. Step 4: Simplify right side
    402.19x = 763,111.44
  5. Step 5: Solve for x
    x = 763,111.44/402.19
  6. Step 6: Final answer
    x = 1,897.40

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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.