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Finding the Third Proportional to 413,821 and 556,108

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Solution

The third proportional to 413,821 and 556,108 is: 747,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,821 : 556,108 = 556,108 : x
  2. Step 2: Convert to fraction form
    413,821/556,108 = 556,108/x
  3. Step 3: Cross multiply
    413,821x = 556,108 × 556,108
  4. Step 4: Simplify right side
    413,821x = 309,256,107,664
  5. Step 5: Solve for x
    x = 309,256,107,664/413,821
  6. Step 6: Final answer
    x = 747,318.55

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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.