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Finding the Third Proportional to 314,664 and 471,906

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Solution

The third proportional to 314,664 and 471,906 is: 707,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,664 : 471,906 = 471,906 : x
  2. Step 2: Convert to fraction form
    314,664/471,906 = 471,906/x
  3. Step 3: Cross multiply
    314,664x = 471,906 × 471,906
  4. Step 4: Simplify right side
    314,664x = 222,695,272,836
  5. Step 5: Solve for x
    x = 222,695,272,836/314,664
  6. Step 6: Final answer
    x = 707,724.03

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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.