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Finding the Third Proportional to 318,937 and 493,840.50

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Solution

The third proportional to 318,937 and 493,840.50 is: 764,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,937 : 493,840.50 = 493,840.50 : x
  2. Step 2: Convert to fraction form
    318,937/493,840.50 = 493,840.50/x
  3. Step 3: Cross multiply
    318,937x = 493,840.50 × 493,840.50
  4. Step 4: Simplify right side
    318,937x = 243,878,439,440.25
  5. Step 5: Solve for x
    x = 243,878,439,440.25/318,937
  6. Step 6: Final answer
    x = 764,660.23

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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.