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Finding the Third Proportional to 663.50 and 970.63

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Solution

The third proportional to 663.50 and 970.63 is: 1,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.50 : 970.63 = 970.63 : x
  2. Step 2: Convert to fraction form
    663.50/970.63 = 970.63/x
  3. Step 3: Cross multiply
    663.50x = 970.63 × 970.63
  4. Step 4: Simplify right side
    663.50x = 942,112.89
  5. Step 5: Solve for x
    x = 942,112.89/663.50
  6. Step 6: Final answer
    x = 1,419.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.