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Finding the Third Proportional to 295,918 and 418,718

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Solution

The third proportional to 295,918 and 418,718 is: 592,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,918 : 418,718 = 418,718 : x
  2. Step 2: Convert to fraction form
    295,918/418,718 = 418,718/x
  3. Step 3: Cross multiply
    295,918x = 418,718 × 418,718
  4. Step 4: Simplify right side
    295,918x = 175,324,763,524
  5. Step 5: Solve for x
    x = 175,324,763,524/295,918
  6. Step 6: Final answer
    x = 592,477.52

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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.