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Finding the Third Proportional to 310,233 and 467,194.50

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Solution

The third proportional to 310,233 and 467,194.50 is: 703,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,233 : 467,194.50 = 467,194.50 : x
  2. Step 2: Convert to fraction form
    310,233/467,194.50 = 467,194.50/x
  3. Step 3: Cross multiply
    310,233x = 467,194.50 × 467,194.50
  4. Step 4: Simplify right side
    310,233x = 218,270,700,830.25
  5. Step 5: Solve for x
    x = 218,270,700,830.25/310,233
  6. Step 6: Final answer
    x = 703,570.22

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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.