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Finding the Third Proportional to 226,473.75 and 493,639.25

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Solution

The third proportional to 226,473.75 and 493,639.25 is: 1,075,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,473.75 : 493,639.25 = 493,639.25 : x
  2. Step 2: Convert to fraction form
    226,473.75/493,639.25 = 493,639.25/x
  3. Step 3: Cross multiply
    226,473.75x = 493,639.25 × 493,639.25
  4. Step 4: Simplify right side
    226,473.75x = 243,679,709,140.56
  5. Step 5: Solve for x
    x = 243,679,709,140.56/226,473.75
  6. Step 6: Final answer
    x = 1,075,973.30

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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.