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Finding the Third Proportional to 964.83 and 1,307.39

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Solution

The third proportional to 964.83 and 1,307.39 is: 1,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.83 : 1,307.39 = 1,307.39 : x
  2. Step 2: Convert to fraction form
    964.83/1,307.39 = 1,307.39/x
  3. Step 3: Cross multiply
    964.83x = 1,307.39 × 1,307.39
  4. Step 4: Simplify right side
    964.83x = 1,709,270.25
  5. Step 5: Solve for x
    x = 1,709,270.25/964.83
  6. Step 6: Final answer
    x = 1,771.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.