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Finding the Third Proportional to 556,980.75 and 836,696.25

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Solution

The third proportional to 556,980.75 and 836,696.25 is: 1,256,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,980.75 : 836,696.25 = 836,696.25 : x
  2. Step 2: Convert to fraction form
    556,980.75/836,696.25 = 836,696.25/x
  3. Step 3: Cross multiply
    556,980.75x = 836,696.25 × 836,696.25
  4. Step 4: Simplify right side
    556,980.75x = 700,060,614,764.06
  5. Step 5: Solve for x
    x = 700,060,614,764.06/556,980.75
  6. Step 6: Final answer
    x = 1,256,884.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.