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Finding the Third Proportional to 242,156 and 495,004

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Solution

The third proportional to 242,156 and 495,004 is: 1,011,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,156 : 495,004 = 495,004 : x
  2. Step 2: Convert to fraction form
    242,156/495,004 = 495,004/x
  3. Step 3: Cross multiply
    242,156x = 495,004 × 495,004
  4. Step 4: Simplify right side
    242,156x = 245,028,960,016
  5. Step 5: Solve for x
    x = 245,028,960,016/242,156
  6. Step 6: Final answer
    x = 1,011,864.09

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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.