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Finding the Third Proportional to 361,937.53 and 771,967.97

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Solution

The third proportional to 361,937.53 and 771,967.97 is: 1,646,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,937.53 : 771,967.97 = 771,967.97 : x
  2. Step 2: Convert to fraction form
    361,937.53/771,967.97 = 771,967.97/x
  3. Step 3: Cross multiply
    361,937.53x = 771,967.97 × 771,967.97
  4. Step 4: Simplify right side
    361,937.53x = 595,934,544,776.00
  5. Step 5: Solve for x
    x = 595,934,544,776.00/361,937.53
  6. Step 6: Final answer
    x = 1,646,512.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.