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Finding the Third Proportional to 226,810 and 493,028

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Solution

The third proportional to 226,810 and 493,028 is: 1,071,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,810 : 493,028 = 493,028 : x
  2. Step 2: Convert to fraction form
    226,810/493,028 = 493,028/x
  3. Step 3: Cross multiply
    226,810x = 493,028 × 493,028
  4. Step 4: Simplify right side
    226,810x = 243,076,608,784
  5. Step 5: Solve for x
    x = 243,076,608,784/226,810
  6. Step 6: Final answer
    x = 1,071,719.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.