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Finding the Third Proportional to 310,230 and 467,191.50

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Solution

The third proportional to 310,230 and 467,191.50 is: 703,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,230 : 467,191.50 = 467,191.50 : x
  2. Step 2: Convert to fraction form
    310,230/467,191.50 = 467,191.50/x
  3. Step 3: Cross multiply
    310,230x = 467,191.50 × 467,191.50
  4. Step 4: Simplify right side
    310,230x = 218,267,897,672.25
  5. Step 5: Solve for x
    x = 218,267,897,672.25/310,230
  6. Step 6: Final answer
    x = 703,567.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.