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Finding the Third Proportional to 200,544 and 435,670

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Solution

The third proportional to 200,544 and 435,670 is: 946,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,544 : 435,670 = 435,670 : x
  2. Step 2: Convert to fraction form
    200,544/435,670 = 435,670/x
  3. Step 3: Cross multiply
    200,544x = 435,670 × 435,670
  4. Step 4: Simplify right side
    200,544x = 189,808,348,900
  5. Step 5: Solve for x
    x = 189,808,348,900/200,544
  6. Step 6: Final answer
    x = 946,467.35

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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.