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Finding the Third Proportional to 227,784 and 455,298

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Solution

The third proportional to 227,784 and 455,298 is: 910,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,784 : 455,298 = 455,298 : x
  2. Step 2: Convert to fraction form
    227,784/455,298 = 455,298/x
  3. Step 3: Cross multiply
    227,784x = 455,298 × 455,298
  4. Step 4: Simplify right side
    227,784x = 207,296,268,804
  5. Step 5: Solve for x
    x = 207,296,268,804/227,784
  6. Step 6: Final answer
    x = 910,056.32

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.