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Finding the Third Proportional to 242,788 and 495,206

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Solution

The third proportional to 242,788 and 495,206 is: 1,010,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,788 : 495,206 = 495,206 : x
  2. Step 2: Convert to fraction form
    242,788/495,206 = 495,206/x
  3. Step 3: Cross multiply
    242,788x = 495,206 × 495,206
  4. Step 4: Simplify right side
    242,788x = 245,228,982,436
  5. Step 5: Solve for x
    x = 245,228,982,436/242,788
  6. Step 6: Final answer
    x = 1,010,053.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.