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Finding the Third Proportional to 305,292 and 467,004

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Solution

The third proportional to 305,292 and 467,004 is: 714,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,292 : 467,004 = 467,004 : x
  2. Step 2: Convert to fraction form
    305,292/467,004 = 467,004/x
  3. Step 3: Cross multiply
    305,292x = 467,004 × 467,004
  4. Step 4: Simplify right side
    305,292x = 218,092,736,016
  5. Step 5: Solve for x
    x = 218,092,736,016/305,292
  6. Step 6: Final answer
    x = 714,374.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.