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Finding the Third Proportional to 283,188 and 434,610

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Solution

The third proportional to 283,188 and 434,610 is: 666,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,188 : 434,610 = 434,610 : x
  2. Step 2: Convert to fraction form
    283,188/434,610 = 434,610/x
  3. Step 3: Cross multiply
    283,188x = 434,610 × 434,610
  4. Step 4: Simplify right side
    283,188x = 188,885,852,100
  5. Step 5: Solve for x
    x = 188,885,852,100/283,188
  6. Step 6: Final answer
    x = 666,998.08

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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.