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Finding the Third Proportional to 317,668 and 493,926

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Solution

The third proportional to 317,668 and 493,926 is: 767,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,668 : 493,926 = 493,926 : x
  2. Step 2: Convert to fraction form
    317,668/493,926 = 493,926/x
  3. Step 3: Cross multiply
    317,668x = 493,926 × 493,926
  4. Step 4: Simplify right side
    317,668x = 243,962,893,476
  5. Step 5: Solve for x
    x = 243,962,893,476/317,668
  6. Step 6: Final answer
    x = 767,980.70

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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.