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Finding the Third Proportional to 615.69 and 946.31

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Solution

The third proportional to 615.69 and 946.31 is: 1,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.69 : 946.31 = 946.31 : x
  2. Step 2: Convert to fraction form
    615.69/946.31 = 946.31/x
  3. Step 3: Cross multiply
    615.69x = 946.31 × 946.31
  4. Step 4: Simplify right side
    615.69x = 895,507.35
  5. Step 5: Solve for x
    x = 895,507.35/615.69
  6. Step 6: Final answer
    x = 1,454.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.