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Finding the Third Proportional to 317,684 and 493,952

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Solution

The third proportional to 317,684 and 493,952 is: 768,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,684 : 493,952 = 493,952 : x
  2. Step 2: Convert to fraction form
    317,684/493,952 = 493,952/x
  3. Step 3: Cross multiply
    317,684x = 493,952 × 493,952
  4. Step 4: Simplify right side
    317,684x = 243,988,578,304
  5. Step 5: Solve for x
    x = 243,988,578,304/317,684
  6. Step 6: Final answer
    x = 768,022.87

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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.