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Finding the Third Proportional to 565,014.23 and 852,616.13

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Solution

The third proportional to 565,014.23 and 852,616.13 is: 1,286,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,014.23 : 852,616.13 = 852,616.13 : x
  2. Step 2: Convert to fraction form
    565,014.23/852,616.13 = 852,616.13/x
  3. Step 3: Cross multiply
    565,014.23x = 852,616.13 × 852,616.13
  4. Step 4: Simplify right side
    565,014.23x = 726,954,256,610.02
  5. Step 5: Solve for x
    x = 726,954,256,610.02/565,014.23
  6. Step 6: Final answer
    x = 1,286,612.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.