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Finding the Third Proportional to 824.06 and 1,465.45

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Solution

The third proportional to 824.06 and 1,465.45 is: 2,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.06 : 1,465.45 = 1,465.45 : x
  2. Step 2: Convert to fraction form
    824.06/1,465.45 = 1,465.45/x
  3. Step 3: Cross multiply
    824.06x = 1,465.45 × 1,465.45
  4. Step 4: Simplify right side
    824.06x = 2,147,552.86
  5. Step 5: Solve for x
    x = 2,147,552.86/824.06
  6. Step 6: Final answer
    x = 2,606.06

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.