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Finding the Third Proportional to 228,922 and 495,979

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Solution

The third proportional to 228,922 and 495,979 is: 1,074,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,922 : 495,979 = 495,979 : x
  2. Step 2: Convert to fraction form
    228,922/495,979 = 495,979/x
  3. Step 3: Cross multiply
    228,922x = 495,979 × 495,979
  4. Step 4: Simplify right side
    228,922x = 245,995,168,441
  5. Step 5: Solve for x
    x = 245,995,168,441/228,922
  6. Step 6: Final answer
    x = 1,074,580.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.