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Finding the Third Proportional to 227,221 and 492,058

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Solution

The third proportional to 227,221 and 492,058 is: 1,065,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,221 : 492,058 = 492,058 : x
  2. Step 2: Convert to fraction form
    227,221/492,058 = 492,058/x
  3. Step 3: Cross multiply
    227,221x = 492,058 × 492,058
  4. Step 4: Simplify right side
    227,221x = 242,121,075,364
  5. Step 5: Solve for x
    x = 242,121,075,364/227,221
  6. Step 6: Final answer
    x = 1,065,575.26

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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.