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Finding the Third Proportional to 204,830.49 and 450,312.70

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Solution

The third proportional to 204,830.49 and 450,312.70 is: 989,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,830.49 : 450,312.70 = 450,312.70 : x
  2. Step 2: Convert to fraction form
    204,830.49/450,312.70 = 450,312.70/x
  3. Step 3: Cross multiply
    204,830.49x = 450,312.70 × 450,312.70
  4. Step 4: Simplify right side
    204,830.49x = 202,781,525,318.66
  5. Step 5: Solve for x
    x = 202,781,525,318.66/204,830.49
  6. Step 6: Final answer
    x = 989,996.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.