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Finding the Third Proportional to 401,456 and 605,586

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Solution

The third proportional to 401,456 and 605,586 is: 913,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,456 : 605,586 = 605,586 : x
  2. Step 2: Convert to fraction form
    401,456/605,586 = 605,586/x
  3. Step 3: Cross multiply
    401,456x = 605,586 × 605,586
  4. Step 4: Simplify right side
    401,456x = 366,734,403,396
  5. Step 5: Solve for x
    x = 366,734,403,396/401,456
  6. Step 6: Final answer
    x = 913,510.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.