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Finding the Third Proportional to 226,941.75 and 493,803

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Solution

The third proportional to 226,941.75 and 493,803 is: 1,074,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,941.75 : 493,803 = 493,803 : x
  2. Step 2: Convert to fraction form
    226,941.75/493,803 = 493,803/x
  3. Step 3: Cross multiply
    226,941.75x = 493,803 × 493,803
  4. Step 4: Simplify right side
    226,941.75x = 243,841,402,809
  5. Step 5: Solve for x
    x = 243,841,402,809/226,941.75
  6. Step 6: Final answer
    x = 1,074,466.92

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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.