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Finding the Third Proportional to 204,784 and 310,038

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Solution

The third proportional to 204,784 and 310,038 is: 469,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,784 : 310,038 = 310,038 : x
  2. Step 2: Convert to fraction form
    204,784/310,038 = 310,038/x
  3. Step 3: Cross multiply
    204,784x = 310,038 × 310,038
  4. Step 4: Simplify right side
    204,784x = 96,123,561,444
  5. Step 5: Solve for x
    x = 96,123,561,444/204,784
  6. Step 6: Final answer
    x = 469,390.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.