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Finding the Third Proportional to 703,472.50 and 1,089,960

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Solution

The third proportional to 703,472.50 and 1,089,960 is: 1,688,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,472.50 : 1,089,960 = 1,089,960 : x
  2. Step 2: Convert to fraction form
    703,472.50/1,089,960 = 1,089,960/x
  3. Step 3: Cross multiply
    703,472.50x = 1,089,960 × 1,089,960
  4. Step 4: Simplify right side
    703,472.50x = 1,188,012,801,600
  5. Step 5: Solve for x
    x = 1,188,012,801,600/703,472.50
  6. Step 6: Final answer
    x = 1,688,783.57

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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.