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Finding the Third Proportional to 381,435 and 560,482.50

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Solution

The third proportional to 381,435 and 560,482.50 is: 823,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,435 : 560,482.50 = 560,482.50 : x
  2. Step 2: Convert to fraction form
    381,435/560,482.50 = 560,482.50/x
  3. Step 3: Cross multiply
    381,435x = 560,482.50 × 560,482.50
  4. Step 4: Simplify right side
    381,435x = 314,140,632,806.25
  5. Step 5: Solve for x
    x = 314,140,632,806.25/381,435
  6. Step 6: Final answer
    x = 823,575.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.