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Finding the Third Proportional to 225,021 and 492,073

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Solution

The third proportional to 225,021 and 492,073 is: 1,076,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,021 : 492,073 = 492,073 : x
  2. Step 2: Convert to fraction form
    225,021/492,073 = 492,073/x
  3. Step 3: Cross multiply
    225,021x = 492,073 × 492,073
  4. Step 4: Simplify right side
    225,021x = 242,135,837,329
  5. Step 5: Solve for x
    x = 242,135,837,329/225,021
  6. Step 6: Final answer
    x = 1,076,058.84

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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.