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Finding the Third Proportional to 716,536.13 and 929,910.38

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Solution

The third proportional to 716,536.13 and 929,910.38 is: 1,206,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,536.13 : 929,910.38 = 929,910.38 : x
  2. Step 2: Convert to fraction form
    716,536.13/929,910.38 = 929,910.38/x
  3. Step 3: Cross multiply
    716,536.13x = 929,910.38 × 929,910.38
  4. Step 4: Simplify right side
    716,536.13x = 864,733,305,532.64
  5. Step 5: Solve for x
    x = 864,733,305,532.64/716,536.13
  6. Step 6: Final answer
    x = 1,206,824.44

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.