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Finding the Third Proportional to 225,072 and 491,967

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Solution

The third proportional to 225,072 and 491,967 is: 1,075,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,072 : 491,967 = 491,967 : x
  2. Step 2: Convert to fraction form
    225,072/491,967 = 491,967/x
  3. Step 3: Cross multiply
    225,072x = 491,967 × 491,967
  4. Step 4: Simplify right side
    225,072x = 242,031,529,089
  5. Step 5: Solve for x
    x = 242,031,529,089/225,072
  6. Step 6: Final answer
    x = 1,075,351.57

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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.