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Finding the Third Proportional to 236,898 and 506,356

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Solution

The third proportional to 236,898 and 506,356 is: 1,082,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,898 : 506,356 = 506,356 : x
  2. Step 2: Convert to fraction form
    236,898/506,356 = 506,356/x
  3. Step 3: Cross multiply
    236,898x = 506,356 × 506,356
  4. Step 4: Simplify right side
    236,898x = 256,396,398,736
  5. Step 5: Solve for x
    x = 256,396,398,736/236,898
  6. Step 6: Final answer
    x = 1,082,307.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.