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Finding the Third Proportional to 706 and 946.50

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Solution

The third proportional to 706 and 946.50 is: 1,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 946.50 = 946.50 : x
  2. Step 2: Convert to fraction form
    706/946.50 = 946.50/x
  3. Step 3: Cross multiply
    706x = 946.50 × 946.50
  4. Step 4: Simplify right side
    706x = 895,862.25
  5. Step 5: Solve for x
    x = 895,862.25/706
  6. Step 6: Final answer
    x = 1,268.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.