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Finding the Third Proportional to 856.83 and 1,212.47

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Solution

The third proportional to 856.83 and 1,212.47 is: 1,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.83 : 1,212.47 = 1,212.47 : x
  2. Step 2: Convert to fraction form
    856.83/1,212.47 = 1,212.47/x
  3. Step 3: Cross multiply
    856.83x = 1,212.47 × 1,212.47
  4. Step 4: Simplify right side
    856.83x = 1,470,080.47
  5. Step 5: Solve for x
    x = 1,470,080.47/856.83
  6. Step 6: Final answer
    x = 1,715.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.