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Finding the Third Proportional to 245,222 and 529,142

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Solution

The third proportional to 245,222 and 529,142 is: 1,141,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,222 : 529,142 = 529,142 : x
  2. Step 2: Convert to fraction form
    245,222/529,142 = 529,142/x
  3. Step 3: Cross multiply
    245,222x = 529,142 × 529,142
  4. Step 4: Simplify right side
    245,222x = 279,991,256,164
  5. Step 5: Solve for x
    x = 279,991,256,164/245,222
  6. Step 6: Final answer
    x = 1,141,786.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.