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Finding the Third Proportional to 314,614 and 471,955

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Solution

The third proportional to 314,614 and 471,955 is: 707,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,614 : 471,955 = 471,955 : x
  2. Step 2: Convert to fraction form
    314,614/471,955 = 471,955/x
  3. Step 3: Cross multiply
    314,614x = 471,955 × 471,955
  4. Step 4: Simplify right side
    314,614x = 222,741,522,025
  5. Step 5: Solve for x
    x = 222,741,522,025/314,614
  6. Step 6: Final answer
    x = 707,983.50

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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.