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Finding the Third Proportional to 325,289 and 507,608

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Solution

The third proportional to 325,289 and 507,608 is: 792,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,289 : 507,608 = 507,608 : x
  2. Step 2: Convert to fraction form
    325,289/507,608 = 507,608/x
  3. Step 3: Cross multiply
    325,289x = 507,608 × 507,608
  4. Step 4: Simplify right side
    325,289x = 257,665,881,664
  5. Step 5: Solve for x
    x = 257,665,881,664/325,289
  6. Step 6: Final answer
    x = 792,113.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.