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Finding the Third Proportional to 317,568.50 and 493,849

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Solution

The third proportional to 317,568.50 and 493,849 is: 767,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,568.50 : 493,849 = 493,849 : x
  2. Step 2: Convert to fraction form
    317,568.50/493,849 = 493,849/x
  3. Step 3: Cross multiply
    317,568.50x = 493,849 × 493,849
  4. Step 4: Simplify right side
    317,568.50x = 243,886,834,801
  5. Step 5: Solve for x
    x = 243,886,834,801/317,568.50
  6. Step 6: Final answer
    x = 767,981.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.