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Finding the Third Proportional to 318,914 and 493,491

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Solution

The third proportional to 318,914 and 493,491 is: 763,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,914 : 493,491 = 493,491 : x
  2. Step 2: Convert to fraction form
    318,914/493,491 = 493,491/x
  3. Step 3: Cross multiply
    318,914x = 493,491 × 493,491
  4. Step 4: Simplify right side
    318,914x = 243,533,367,081
  5. Step 5: Solve for x
    x = 243,533,367,081/318,914
  6. Step 6: Final answer
    x = 763,633.35

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Why These Related Problems?

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