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Finding the Third Proportional to 242,834 and 495,304

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Solution

The third proportional to 242,834 and 495,304 is: 1,010,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,834 : 495,304 = 495,304 : x
  2. Step 2: Convert to fraction form
    242,834/495,304 = 495,304/x
  3. Step 3: Cross multiply
    242,834x = 495,304 × 495,304
  4. Step 4: Simplify right side
    242,834x = 245,326,052,416
  5. Step 5: Solve for x
    x = 245,326,052,416/242,834
  6. Step 6: Final answer
    x = 1,010,262.37

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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.