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Finding the Third Proportional to 443,329.50 and 960,963

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Solution

The third proportional to 443,329.50 and 960,963 is: 2,082,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,329.50 : 960,963 = 960,963 : x
  2. Step 2: Convert to fraction form
    443,329.50/960,963 = 960,963/x
  3. Step 3: Cross multiply
    443,329.50x = 960,963 × 960,963
  4. Step 4: Simplify right side
    443,329.50x = 923,449,887,369
  5. Step 5: Solve for x
    x = 923,449,887,369/443,329.50
  6. Step 6: Final answer
    x = 2,082,987.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.