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Finding the Third Proportional to 854.63 and 1,327.50

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Solution

The third proportional to 854.63 and 1,327.50 is: 2,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.63 : 1,327.50 = 1,327.50 : x
  2. Step 2: Convert to fraction form
    854.63/1,327.50 = 1,327.50/x
  3. Step 3: Cross multiply
    854.63x = 1,327.50 × 1,327.50
  4. Step 4: Simplify right side
    854.63x = 1,762,256.25
  5. Step 5: Solve for x
    x = 1,762,256.25/854.63
  6. Step 6: Final answer
    x = 2,062.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.