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Finding the Third Proportional to 488,496 and 697,266

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Solution

The third proportional to 488,496 and 697,266 is: 995,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,496 : 697,266 = 697,266 : x
  2. Step 2: Convert to fraction form
    488,496/697,266 = 697,266/x
  3. Step 3: Cross multiply
    488,496x = 697,266 × 697,266
  4. Step 4: Simplify right side
    488,496x = 486,179,874,756
  5. Step 5: Solve for x
    x = 486,179,874,756/488,496
  6. Step 6: Final answer
    x = 995,258.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.