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Finding the Third Proportional to 224,056.13 and 483,767.44

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Solution

The third proportional to 224,056.13 and 483,767.44 is: 1,044,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,056.13 : 483,767.44 = 483,767.44 : x
  2. Step 2: Convert to fraction form
    224,056.13/483,767.44 = 483,767.44/x
  3. Step 3: Cross multiply
    224,056.13x = 483,767.44 × 483,767.44
  4. Step 4: Simplify right side
    224,056.13x = 234,030,933,585.32
  5. Step 5: Solve for x
    x = 234,030,933,585.32/224,056.13
  6. Step 6: Final answer
    x = 1,044,519.24

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Why These Related Problems?

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