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Finding the Third Proportional to 315,684 and 482,922

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Solution

The third proportional to 315,684 and 482,922 is: 738,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,684 : 482,922 = 482,922 : x
  2. Step 2: Convert to fraction form
    315,684/482,922 = 482,922/x
  3. Step 3: Cross multiply
    315,684x = 482,922 × 482,922
  4. Step 4: Simplify right side
    315,684x = 233,213,658,084
  5. Step 5: Solve for x
    x = 233,213,658,084/315,684
  6. Step 6: Final answer
    x = 738,756.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.