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Finding the Third Proportional to 225,024 and 492,081

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Solution

The third proportional to 225,024 and 492,081 is: 1,076,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,024 : 492,081 = 492,081 : x
  2. Step 2: Convert to fraction form
    225,024/492,081 = 492,081/x
  3. Step 3: Cross multiply
    225,024x = 492,081 × 492,081
  4. Step 4: Simplify right side
    225,024x = 242,143,710,561
  5. Step 5: Solve for x
    x = 242,143,710,561/225,024
  6. Step 6: Final answer
    x = 1,076,079.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.