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Finding the Third Proportional to 295,182 and 633,366

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Solution

The third proportional to 295,182 and 633,366 is: 1,359,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,182 : 633,366 = 633,366 : x
  2. Step 2: Convert to fraction form
    295,182/633,366 = 633,366/x
  3. Step 3: Cross multiply
    295,182x = 633,366 × 633,366
  4. Step 4: Simplify right side
    295,182x = 401,152,489,956
  5. Step 5: Solve for x
    x = 401,152,489,956/295,182
  6. Step 6: Final answer
    x = 1,359,000.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.