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Finding the Third Proportional to 223,842 and 487,041

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Solution

The third proportional to 223,842 and 487,041 is: 1,059,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,842 : 487,041 = 487,041 : x
  2. Step 2: Convert to fraction form
    223,842/487,041 = 487,041/x
  3. Step 3: Cross multiply
    223,842x = 487,041 × 487,041
  4. Step 4: Simplify right side
    223,842x = 237,208,935,681
  5. Step 5: Solve for x
    x = 237,208,935,681/223,842
  6. Step 6: Final answer
    x = 1,059,715.94

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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.