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Finding the Third Proportional to 209,753 and 314,652

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Solution

The third proportional to 209,753 and 314,652 is: 472,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,753 : 314,652 = 314,652 : x
  2. Step 2: Convert to fraction form
    209,753/314,652 = 314,652/x
  3. Step 3: Cross multiply
    209,753x = 314,652 × 314,652
  4. Step 4: Simplify right side
    209,753x = 99,005,881,104
  5. Step 5: Solve for x
    x = 99,005,881,104/209,753
  6. Step 6: Final answer
    x = 472,011.75

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