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Finding the Third Proportional to 200,322 and 440,964

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Solution

The third proportional to 200,322 and 440,964 is: 970,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,322 : 440,964 = 440,964 : x
  2. Step 2: Convert to fraction form
    200,322/440,964 = 440,964/x
  3. Step 3: Cross multiply
    200,322x = 440,964 × 440,964
  4. Step 4: Simplify right side
    200,322x = 194,449,249,296
  5. Step 5: Solve for x
    x = 194,449,249,296/200,322
  6. Step 6: Final answer
    x = 970,683.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.