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Finding the Third Proportional to 238,066 and 495,858

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Solution

The third proportional to 238,066 and 495,858 is: 1,032,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,066 : 495,858 = 495,858 : x
  2. Step 2: Convert to fraction form
    238,066/495,858 = 495,858/x
  3. Step 3: Cross multiply
    238,066x = 495,858 × 495,858
  4. Step 4: Simplify right side
    238,066x = 245,875,156,164
  5. Step 5: Solve for x
    x = 245,875,156,164/238,066
  6. Step 6: Final answer
    x = 1,032,802.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.