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Finding the Third Proportional to 224,834 and 481,719

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Solution

The third proportional to 224,834 and 481,719 is: 1,032,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,834 : 481,719 = 481,719 : x
  2. Step 2: Convert to fraction form
    224,834/481,719 = 481,719/x
  3. Step 3: Cross multiply
    224,834x = 481,719 × 481,719
  4. Step 4: Simplify right side
    224,834x = 232,053,194,961
  5. Step 5: Solve for x
    x = 232,053,194,961/224,834
  6. Step 6: Final answer
    x = 1,032,109.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.