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Finding the Third Proportional to 314,962 and 471,571

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Solution

The third proportional to 314,962 and 471,571 is: 706,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,962 : 471,571 = 471,571 : x
  2. Step 2: Convert to fraction form
    314,962/471,571 = 471,571/x
  3. Step 3: Cross multiply
    314,962x = 471,571 × 471,571
  4. Step 4: Simplify right side
    314,962x = 222,379,208,041
  5. Step 5: Solve for x
    x = 222,379,208,041/314,962
  6. Step 6: Final answer
    x = 706,050.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.