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Finding the Third Proportional to 875.81 and 1,314.77

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Solution

The third proportional to 875.81 and 1,314.77 is: 1,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.81 : 1,314.77 = 1,314.77 : x
  2. Step 2: Convert to fraction form
    875.81/1,314.77 = 1,314.77/x
  3. Step 3: Cross multiply
    875.81x = 1,314.77 × 1,314.77
  4. Step 4: Simplify right side
    875.81x = 1,728,629.19
  5. Step 5: Solve for x
    x = 1,728,629.19/875.81
  6. Step 6: Final answer
    x = 1,973.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.