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Finding the Third Proportional to 493,215 and 668,380.50

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Solution

The third proportional to 493,215 and 668,380.50 is: 905,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,215 : 668,380.50 = 668,380.50 : x
  2. Step 2: Convert to fraction form
    493,215/668,380.50 = 668,380.50/x
  3. Step 3: Cross multiply
    493,215x = 668,380.50 × 668,380.50
  4. Step 4: Simplify right side
    493,215x = 446,732,492,780.25
  5. Step 5: Solve for x
    x = 446,732,492,780.25/493,215
  6. Step 6: Final answer
    x = 905,756.10

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.