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Finding the Third Proportional to 224,829.84 and 481,709.95

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Solution

The third proportional to 224,829.84 and 481,709.95 is: 1,032,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,829.84 : 481,709.95 = 481,709.95 : x
  2. Step 2: Convert to fraction form
    224,829.84/481,709.95 = 481,709.95/x
  3. Step 3: Cross multiply
    224,829.84x = 481,709.95 × 481,709.95
  4. Step 4: Simplify right side
    224,829.84x = 232,044,478,939.69
  5. Step 5: Solve for x
    x = 232,044,478,939.69/224,829.84
  6. Step 6: Final answer
    x = 1,032,089.31

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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.