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Finding the Third Proportional to 325,292 and 507,610

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Solution

The third proportional to 325,292 and 507,610 is: 792,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,292 : 507,610 = 507,610 : x
  2. Step 2: Convert to fraction form
    325,292/507,610 = 507,610/x
  3. Step 3: Cross multiply
    325,292x = 507,610 × 507,610
  4. Step 4: Simplify right side
    325,292x = 257,667,912,100
  5. Step 5: Solve for x
    x = 257,667,912,100/325,292
  6. Step 6: Final answer
    x = 792,112.66

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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.