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Finding the Third Proportional to 283,092 and 434,466

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Solution

The third proportional to 283,092 and 434,466 is: 666,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,092 : 434,466 = 434,466 : x
  2. Step 2: Convert to fraction form
    283,092/434,466 = 434,466/x
  3. Step 3: Cross multiply
    283,092x = 434,466 × 434,466
  4. Step 4: Simplify right side
    283,092x = 188,760,705,156
  5. Step 5: Solve for x
    x = 188,760,705,156/283,092
  6. Step 6: Final answer
    x = 666,782.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.