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Finding the Third Proportional to 377,910.75 and 577,846.50

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Solution

The third proportional to 377,910.75 and 577,846.50 is: 883,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,910.75 : 577,846.50 = 577,846.50 : x
  2. Step 2: Convert to fraction form
    377,910.75/577,846.50 = 577,846.50/x
  3. Step 3: Cross multiply
    377,910.75x = 577,846.50 × 577,846.50
  4. Step 4: Simplify right side
    377,910.75x = 333,906,577,562.25
  5. Step 5: Solve for x
    x = 333,906,577,562.25/377,910.75
  6. Step 6: Final answer
    x = 883,559.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.