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Finding the Third Proportional to 397,246.78 and 559,656.84

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Solution

The third proportional to 397,246.78 and 559,656.84 is: 788,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,246.78 : 559,656.84 = 559,656.84 : x
  2. Step 2: Convert to fraction form
    397,246.78/559,656.84 = 559,656.84/x
  3. Step 3: Cross multiply
    397,246.78x = 559,656.84 × 559,656.84
  4. Step 4: Simplify right side
    397,246.78x = 313,215,782,756.21
  5. Step 5: Solve for x
    x = 313,215,782,756.21/397,246.78
  6. Step 6: Final answer
    x = 788,466.51

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.