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Finding the Third Proportional to 703,264.50 and 1,089,645.75

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Solution

The third proportional to 703,264.50 and 1,089,645.75 is: 1,688,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,264.50 : 1,089,645.75 = 1,089,645.75 : x
  2. Step 2: Convert to fraction form
    703,264.50/1,089,645.75 = 1,089,645.75/x
  3. Step 3: Cross multiply
    703,264.50x = 1,089,645.75 × 1,089,645.75
  4. Step 4: Simplify right side
    703,264.50x = 1,187,327,860,493.06
  5. Step 5: Solve for x
    x = 1,187,327,860,493.06/703,264.50
  6. Step 6: Final answer
    x = 1,688,309.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.