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Finding the Third Proportional to 210,372 and 459,293

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Solution

The third proportional to 210,372 and 459,293 is: 1,002,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,372 : 459,293 = 459,293 : x
  2. Step 2: Convert to fraction form
    210,372/459,293 = 459,293/x
  3. Step 3: Cross multiply
    210,372x = 459,293 × 459,293
  4. Step 4: Simplify right side
    210,372x = 210,950,059,849
  5. Step 5: Solve for x
    x = 210,950,059,849/210,372
  6. Step 6: Final answer
    x = 1,002,747.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.