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Finding the Third Proportional to 248,234 and 530,356

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Solution

The third proportional to 248,234 and 530,356 is: 1,133,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,234 : 530,356 = 530,356 : x
  2. Step 2: Convert to fraction form
    248,234/530,356 = 530,356/x
  3. Step 3: Cross multiply
    248,234x = 530,356 × 530,356
  4. Step 4: Simplify right side
    248,234x = 281,277,486,736
  5. Step 5: Solve for x
    x = 281,277,486,736/248,234
  6. Step 6: Final answer
    x = 1,133,114.27

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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.