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Finding the Third Proportional to 370,408.50 and 563,604.75

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Solution

The third proportional to 370,408.50 and 563,604.75 is: 857,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,408.50 : 563,604.75 = 563,604.75 : x
  2. Step 2: Convert to fraction form
    370,408.50/563,604.75 = 563,604.75/x
  3. Step 3: Cross multiply
    370,408.50x = 563,604.75 × 563,604.75
  4. Step 4: Simplify right side
    370,408.50x = 317,650,314,222.56
  5. Step 5: Solve for x
    x = 317,650,314,222.56/370,408.50
  6. Step 6: Final answer
    x = 857,567.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.