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Finding the Third Proportional to 295,687.10 and 463,236.07

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Solution

The third proportional to 295,687.10 and 463,236.07 is: 725,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,687.10 : 463,236.07 = 463,236.07 : x
  2. Step 2: Convert to fraction form
    295,687.10/463,236.07 = 463,236.07/x
  3. Step 3: Cross multiply
    295,687.10x = 463,236.07 × 463,236.07
  4. Step 4: Simplify right side
    295,687.10x = 214,587,659,552.86
  5. Step 5: Solve for x
    x = 214,587,659,552.86/295,687.10
  6. Step 6: Final answer
    x = 725,725.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.