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Finding the Third Proportional to 777.38 and 1,141.88

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Solution

The third proportional to 777.38 and 1,141.88 is: 1,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.38 : 1,141.88 = 1,141.88 : x
  2. Step 2: Convert to fraction form
    777.38/1,141.88 = 1,141.88/x
  3. Step 3: Cross multiply
    777.38x = 1,141.88 × 1,141.88
  4. Step 4: Simplify right side
    777.38x = 1,303,878.52
  5. Step 5: Solve for x
    x = 1,303,878.52/777.38
  6. Step 6: Final answer
    x = 1,677.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.