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Finding the Third Proportional to 617,965 and 956,350

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Solution

The third proportional to 617,965 and 956,350 is: 1,480,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,965 : 956,350 = 956,350 : x
  2. Step 2: Convert to fraction form
    617,965/956,350 = 956,350/x
  3. Step 3: Cross multiply
    617,965x = 956,350 × 956,350
  4. Step 4: Simplify right side
    617,965x = 914,605,322,500
  5. Step 5: Solve for x
    x = 914,605,322,500/617,965
  6. Step 6: Final answer
    x = 1,480,027.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.