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Finding the Third Proportional to 523,563.75 and 789,709.50

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Solution

The third proportional to 523,563.75 and 789,709.50 is: 1,191,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,563.75 : 789,709.50 = 789,709.50 : x
  2. Step 2: Convert to fraction form
    523,563.75/789,709.50 = 789,709.50/x
  3. Step 3: Cross multiply
    523,563.75x = 789,709.50 × 789,709.50
  4. Step 4: Simplify right side
    523,563.75x = 623,641,094,390.25
  5. Step 5: Solve for x
    x = 623,641,094,390.25/523,563.75
  6. Step 6: Final answer
    x = 1,191,146.44

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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.