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Finding the Third Proportional to 413,889.75 and 556,206.75

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Solution

The third proportional to 413,889.75 and 556,206.75 is: 747,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,889.75 : 556,206.75 = 556,206.75 : x
  2. Step 2: Convert to fraction form
    413,889.75/556,206.75 = 556,206.75/x
  3. Step 3: Cross multiply
    413,889.75x = 556,206.75 × 556,206.75
  4. Step 4: Simplify right side
    413,889.75x = 309,365,948,745.56
  5. Step 5: Solve for x
    x = 309,365,948,745.56/413,889.75
  6. Step 6: Final answer
    x = 747,459.80

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.