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Finding the Third Proportional to 226,583 and 493,610

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Solution

The third proportional to 226,583 and 493,610 is: 1,075,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,583 : 493,610 = 493,610 : x
  2. Step 2: Convert to fraction form
    226,583/493,610 = 493,610/x
  3. Step 3: Cross multiply
    226,583x = 493,610 × 493,610
  4. Step 4: Simplify right side
    226,583x = 243,650,832,100
  5. Step 5: Solve for x
    x = 243,650,832,100/226,583
  6. Step 6: Final answer
    x = 1,075,327.06

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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.