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Finding the Third Proportional to 250,722 and 529,119

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Solution

The third proportional to 250,722 and 529,119 is: 1,116,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,722 : 529,119 = 529,119 : x
  2. Step 2: Convert to fraction form
    250,722/529,119 = 529,119/x
  3. Step 3: Cross multiply
    250,722x = 529,119 × 529,119
  4. Step 4: Simplify right side
    250,722x = 279,966,916,161
  5. Step 5: Solve for x
    x = 279,966,916,161/250,722
  6. Step 6: Final answer
    x = 1,116,642.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.