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Finding the Third Proportional to 204,503.06 and 427,798.13

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Solution

The third proportional to 204,503.06 and 427,798.13 is: 894,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,503.06 : 427,798.13 = 427,798.13 : x
  2. Step 2: Convert to fraction form
    204,503.06/427,798.13 = 427,798.13/x
  3. Step 3: Cross multiply
    204,503.06x = 427,798.13 × 427,798.13
  4. Step 4: Simplify right side
    204,503.06x = 183,011,235,753.52
  5. Step 5: Solve for x
    x = 183,011,235,753.52/204,503.06
  6. Step 6: Final answer
    x = 894,907.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.