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Finding the Third Proportional to 295,926 and 463,722

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Solution

The third proportional to 295,926 and 463,722 is: 726,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,926 : 463,722 = 463,722 : x
  2. Step 2: Convert to fraction form
    295,926/463,722 = 463,722/x
  3. Step 3: Cross multiply
    295,926x = 463,722 × 463,722
  4. Step 4: Simplify right side
    295,926x = 215,038,093,284
  5. Step 5: Solve for x
    x = 215,038,093,284/295,926
  6. Step 6: Final answer
    x = 726,661.71

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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.