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Finding the Third Proportional to 390.23 and 824.11

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Solution

The third proportional to 390.23 and 824.11 is: 1,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.23 : 824.11 = 824.11 : x
  2. Step 2: Convert to fraction form
    390.23/824.11 = 824.11/x
  3. Step 3: Cross multiply
    390.23x = 824.11 × 824.11
  4. Step 4: Simplify right side
    390.23x = 679,156.26
  5. Step 5: Solve for x
    x = 679,156.26/390.23
  6. Step 6: Final answer
    x = 1,740.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.