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Finding the Third Proportional to 724,183.75 and 1,095,594.50

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Solution

The third proportional to 724,183.75 and 1,095,594.50 is: 1,657,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,183.75 : 1,095,594.50 = 1,095,594.50 : x
  2. Step 2: Convert to fraction form
    724,183.75/1,095,594.50 = 1,095,594.50/x
  3. Step 3: Cross multiply
    724,183.75x = 1,095,594.50 × 1,095,594.50
  4. Step 4: Simplify right side
    724,183.75x = 1,200,327,308,430.25
  5. Step 5: Solve for x
    x = 1,200,327,308,430.25/724,183.75
  6. Step 6: Final answer
    x = 1,657,489.98

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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.