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Finding the Third Proportional to 265,968 and 408,793.50

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Solution

The third proportional to 265,968 and 408,793.50 is: 628,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,968 : 408,793.50 = 408,793.50 : x
  2. Step 2: Convert to fraction form
    265,968/408,793.50 = 408,793.50/x
  3. Step 3: Cross multiply
    265,968x = 408,793.50 × 408,793.50
  4. Step 4: Simplify right side
    265,968x = 167,112,125,642.25
  5. Step 5: Solve for x
    x = 167,112,125,642.25/265,968
  6. Step 6: Final answer
    x = 628,316.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.