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Finding the Third Proportional to 225,752 and 496,072

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Solution

The third proportional to 225,752 and 496,072 is: 1,090,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,752 : 496,072 = 496,072 : x
  2. Step 2: Convert to fraction form
    225,752/496,072 = 496,072/x
  3. Step 3: Cross multiply
    225,752x = 496,072 × 496,072
  4. Step 4: Simplify right side
    225,752x = 246,087,429,184
  5. Step 5: Solve for x
    x = 246,087,429,184/225,752
  6. Step 6: Final answer
    x = 1,090,078.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.