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Finding the Third Proportional to 204,816 and 300,528

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Solution

The third proportional to 204,816 and 300,528 is: 440,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,816 : 300,528 = 300,528 : x
  2. Step 2: Convert to fraction form
    204,816/300,528 = 300,528/x
  3. Step 3: Cross multiply
    204,816x = 300,528 × 300,528
  4. Step 4: Simplify right side
    204,816x = 90,317,078,784
  5. Step 5: Solve for x
    x = 90,317,078,784/204,816
  6. Step 6: Final answer
    x = 440,966.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.