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Finding the Third Proportional to 226,487 and 493,670

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Solution

The third proportional to 226,487 and 493,670 is: 1,076,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,487 : 493,670 = 493,670 : x
  2. Step 2: Convert to fraction form
    226,487/493,670 = 493,670/x
  3. Step 3: Cross multiply
    226,487x = 493,670 × 493,670
  4. Step 4: Simplify right side
    226,487x = 243,710,068,900
  5. Step 5: Solve for x
    x = 243,710,068,900/226,487
  6. Step 6: Final answer
    x = 1,076,044.40

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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.