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Finding the Third Proportional to 656,563.50 and 984,840.75

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Solution

The third proportional to 656,563.50 and 984,840.75 is: 1,477,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,563.50 : 984,840.75 = 984,840.75 : x
  2. Step 2: Convert to fraction form
    656,563.50/984,840.75 = 984,840.75/x
  3. Step 3: Cross multiply
    656,563.50x = 984,840.75 × 984,840.75
  4. Step 4: Simplify right side
    656,563.50x = 969,911,302,860.56
  5. Step 5: Solve for x
    x = 969,911,302,860.56/656,563.50
  6. Step 6: Final answer
    x = 1,477,254.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.