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Finding the Third Proportional to 875.44 and 1,314.94

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Solution

The third proportional to 875.44 and 1,314.94 is: 1,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.44 : 1,314.94 = 1,314.94 : x
  2. Step 2: Convert to fraction form
    875.44/1,314.94 = 1,314.94/x
  3. Step 3: Cross multiply
    875.44x = 1,314.94 × 1,314.94
  4. Step 4: Simplify right side
    875.44x = 1,729,060.63
  5. Step 5: Solve for x
    x = 1,729,060.63/875.44
  6. Step 6: Final answer
    x = 1,975.08

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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.