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Finding the Third Proportional to 571,718.25 and 836,086.50

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Solution

The third proportional to 571,718.25 and 836,086.50 is: 1,222,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,718.25 : 836,086.50 = 836,086.50 : x
  2. Step 2: Convert to fraction form
    571,718.25/836,086.50 = 836,086.50/x
  3. Step 3: Cross multiply
    571,718.25x = 836,086.50 × 836,086.50
  4. Step 4: Simplify right side
    571,718.25x = 699,040,635,482.25
  5. Step 5: Solve for x
    x = 699,040,635,482.25/571,718.25
  6. Step 6: Final answer
    x = 1,222,701.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.