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Finding the Third Proportional to 467,839.50 and 705,084

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Solution

The third proportional to 467,839.50 and 705,084 is: 1,062,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,839.50 : 705,084 = 705,084 : x
  2. Step 2: Convert to fraction form
    467,839.50/705,084 = 705,084/x
  3. Step 3: Cross multiply
    467,839.50x = 705,084 × 705,084
  4. Step 4: Simplify right side
    467,839.50x = 497,143,447,056
  5. Step 5: Solve for x
    x = 497,143,447,056/467,839.50
  6. Step 6: Final answer
    x = 1,062,636.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.