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Finding the Third Proportional to 357,992 and 501,724

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Solution

The third proportional to 357,992 and 501,724 is: 703,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,992 : 501,724 = 501,724 : x
  2. Step 2: Convert to fraction form
    357,992/501,724 = 501,724/x
  3. Step 3: Cross multiply
    357,992x = 501,724 × 501,724
  4. Step 4: Simplify right side
    357,992x = 251,726,972,176
  5. Step 5: Solve for x
    x = 251,726,972,176/357,992
  6. Step 6: Final answer
    x = 703,163.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.