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Finding the Third Proportional to 295,902 and 418,695

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Solution

The third proportional to 295,902 and 418,695 is: 592,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,902 : 418,695 = 418,695 : x
  2. Step 2: Convert to fraction form
    295,902/418,695 = 418,695/x
  3. Step 3: Cross multiply
    295,902x = 418,695 × 418,695
  4. Step 4: Simplify right side
    295,902x = 175,305,503,025
  5. Step 5: Solve for x
    x = 175,305,503,025/295,902
  6. Step 6: Final answer
    x = 592,444.47

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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.