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Finding the Third Proportional to 225,952 and 497,048

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Solution

The third proportional to 225,952 and 497,048 is: 1,093,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,952 : 497,048 = 497,048 : x
  2. Step 2: Convert to fraction form
    225,952/497,048 = 497,048/x
  3. Step 3: Cross multiply
    225,952x = 497,048 × 497,048
  4. Step 4: Simplify right side
    225,952x = 247,056,714,304
  5. Step 5: Solve for x
    x = 247,056,714,304/225,952
  6. Step 6: Final answer
    x = 1,093,403.53

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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.