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Finding the Third Proportional to 422,060 and 604,586

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Solution

The third proportional to 422,060 and 604,586 is: 866,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,060 : 604,586 = 604,586 : x
  2. Step 2: Convert to fraction form
    422,060/604,586 = 604,586/x
  3. Step 3: Cross multiply
    422,060x = 604,586 × 604,586
  4. Step 4: Simplify right side
    422,060x = 365,524,231,396
  5. Step 5: Solve for x
    x = 365,524,231,396/422,060
  6. Step 6: Final answer
    x = 866,048.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.