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Finding the Third Proportional to 314,669 and 471,895

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Solution

The third proportional to 314,669 and 471,895 is: 707,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,669 : 471,895 = 471,895 : x
  2. Step 2: Convert to fraction form
    314,669/471,895 = 471,895/x
  3. Step 3: Cross multiply
    314,669x = 471,895 × 471,895
  4. Step 4: Simplify right side
    314,669x = 222,684,891,025
  5. Step 5: Solve for x
    x = 222,684,891,025/314,669
  6. Step 6: Final answer
    x = 707,679.79

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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.