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Finding the Third Proportional to 200,599 and 304,847

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Solution

The third proportional to 200,599 and 304,847 is: 463,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,599 : 304,847 = 304,847 : x
  2. Step 2: Convert to fraction form
    200,599/304,847 = 304,847/x
  3. Step 3: Cross multiply
    200,599x = 304,847 × 304,847
  4. Step 4: Simplify right side
    200,599x = 92,931,693,409
  5. Step 5: Solve for x
    x = 92,931,693,409/200,599
  6. Step 6: Final answer
    x = 463,270.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.