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Finding the Third Proportional to 281,934 and 607,879.69

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Solution

The third proportional to 281,934 and 607,879.69 is: 1,310,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,934 : 607,879.69 = 607,879.69 : x
  2. Step 2: Convert to fraction form
    281,934/607,879.69 = 607,879.69/x
  3. Step 3: Cross multiply
    281,934x = 607,879.69 × 607,879.69
  4. Step 4: Simplify right side
    281,934x = 369,517,714,475.10
  5. Step 5: Solve for x
    x = 369,517,714,475.10/281,934
  6. Step 6: Final answer
    x = 1,310,653.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.