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Finding the Third Proportional to 425.86 and 651.14

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Solution

The third proportional to 425.86 and 651.14 is: 995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.86 : 651.14 = 651.14 : x
  2. Step 2: Convert to fraction form
    425.86/651.14 = 651.14/x
  3. Step 3: Cross multiply
    425.86x = 651.14 × 651.14
  4. Step 4: Simplify right side
    425.86x = 423,984.11
  5. Step 5: Solve for x
    x = 423,984.11/425.86
  6. Step 6: Final answer
    x = 995.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.