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Finding the Third Proportional to 200,452 and 431,912

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Solution

The third proportional to 200,452 and 431,912 is: 930,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,452 : 431,912 = 431,912 : x
  2. Step 2: Convert to fraction form
    200,452/431,912 = 431,912/x
  3. Step 3: Cross multiply
    200,452x = 431,912 × 431,912
  4. Step 4: Simplify right side
    200,452x = 186,547,975,744
  5. Step 5: Solve for x
    x = 186,547,975,744/200,452
  6. Step 6: Final answer
    x = 930,636.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.