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Finding the Third Proportional to 200,464 and 435,902

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Solution

The third proportional to 200,464 and 435,902 is: 947,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,464 : 435,902 = 435,902 : x
  2. Step 2: Convert to fraction form
    200,464/435,902 = 435,902/x
  3. Step 3: Cross multiply
    200,464x = 435,902 × 435,902
  4. Step 4: Simplify right side
    200,464x = 190,010,553,604
  5. Step 5: Solve for x
    x = 190,010,553,604/200,464
  6. Step 6: Final answer
    x = 947,853.75

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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.