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Finding the Third Proportional to 295,908 and 418,701

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Solution

The third proportional to 295,908 and 418,701 is: 592,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,908 : 418,701 = 418,701 : x
  2. Step 2: Convert to fraction form
    295,908/418,701 = 418,701/x
  3. Step 3: Cross multiply
    295,908x = 418,701 × 418,701
  4. Step 4: Simplify right side
    295,908x = 175,310,527,401
  5. Step 5: Solve for x
    x = 175,310,527,401/295,908
  6. Step 6: Final answer
    x = 592,449.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.