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Finding the Third Proportional to 200,465 and 440,610

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Solution

The third proportional to 200,465 and 440,610 is: 968,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,465 : 440,610 = 440,610 : x
  2. Step 2: Convert to fraction form
    200,465/440,610 = 440,610/x
  3. Step 3: Cross multiply
    200,465x = 440,610 × 440,610
  4. Step 4: Simplify right side
    200,465x = 194,137,172,100
  5. Step 5: Solve for x
    x = 194,137,172,100/200,465
  6. Step 6: Final answer
    x = 968,434.25

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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.