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Finding the Third Proportional to 291,212 and 456,907

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Solution

The third proportional to 291,212 and 456,907 is: 716,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,212 : 456,907 = 456,907 : x
  2. Step 2: Convert to fraction form
    291,212/456,907 = 456,907/x
  3. Step 3: Cross multiply
    291,212x = 456,907 × 456,907
  4. Step 4: Simplify right side
    291,212x = 208,764,006,649
  5. Step 5: Solve for x
    x = 208,764,006,649/291,212
  6. Step 6: Final answer
    x = 716,879.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.