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Finding the Third Proportional to 226,769 and 488,527

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Solution

The third proportional to 226,769 and 488,527 is: 1,052,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,769 : 488,527 = 488,527 : x
  2. Step 2: Convert to fraction form
    226,769/488,527 = 488,527/x
  3. Step 3: Cross multiply
    226,769x = 488,527 × 488,527
  4. Step 4: Simplify right side
    226,769x = 238,658,629,729
  5. Step 5: Solve for x
    x = 238,658,629,729/226,769
  6. Step 6: Final answer
    x = 1,052,430.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.