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Finding the Third Proportional to 317,672 and 493,932

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Solution

The third proportional to 317,672 and 493,932 is: 767,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,672 : 493,932 = 493,932 : x
  2. Step 2: Convert to fraction form
    317,672/493,932 = 493,932/x
  3. Step 3: Cross multiply
    317,672x = 493,932 × 493,932
  4. Step 4: Simplify right side
    317,672x = 243,968,820,624
  5. Step 5: Solve for x
    x = 243,968,820,624/317,672
  6. Step 6: Final answer
    x = 767,989.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.