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Finding the Third Proportional to 224,064.56 and 483,784.31

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Solution

The third proportional to 224,064.56 and 483,784.31 is: 1,044,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,064.56 : 483,784.31 = 483,784.31 : x
  2. Step 2: Convert to fraction form
    224,064.56/483,784.31 = 483,784.31/x
  3. Step 3: Cross multiply
    224,064.56x = 483,784.31 × 483,784.31
  4. Step 4: Simplify right side
    224,064.56x = 234,047,261,021.10
  5. Step 5: Solve for x
    x = 234,047,261,021.10/224,064.56
  6. Step 6: Final answer
    x = 1,044,552.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.