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Finding the Third Proportional to 659.47 and 968.94

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Solution

The third proportional to 659.47 and 968.94 is: 1,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.47 : 968.94 = 968.94 : x
  2. Step 2: Convert to fraction form
    659.47/968.94 = 968.94/x
  3. Step 3: Cross multiply
    659.47x = 968.94 × 968.94
  4. Step 4: Simplify right side
    659.47x = 938,839.88
  5. Step 5: Solve for x
    x = 938,839.88/659.47
  6. Step 6: Final answer
    x = 1,423.63

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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.