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Finding the Third Proportional to 776.14 and 1,148.87

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Solution

The third proportional to 776.14 and 1,148.87 is: 1,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.14 : 1,148.87 = 1,148.87 : x
  2. Step 2: Convert to fraction form
    776.14/1,148.87 = 1,148.87/x
  3. Step 3: Cross multiply
    776.14x = 1,148.87 × 1,148.87
  4. Step 4: Simplify right side
    776.14x = 1,319,904.79
  5. Step 5: Solve for x
    x = 1,319,904.79/776.14
  6. Step 6: Final answer
    x = 1,700.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.