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Finding the Third Proportional to 295,956 and 463,767

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Solution

The third proportional to 295,956 and 463,767 is: 726,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,956 : 463,767 = 463,767 : x
  2. Step 2: Convert to fraction form
    295,956/463,767 = 463,767/x
  3. Step 3: Cross multiply
    295,956x = 463,767 × 463,767
  4. Step 4: Simplify right side
    295,956x = 215,079,830,289
  5. Step 5: Solve for x
    x = 215,079,830,289/295,956
  6. Step 6: Final answer
    x = 726,729.08

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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.