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Finding the Third Proportional to 284,168 and 424,307

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Solution

The third proportional to 284,168 and 424,307 is: 633,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,168 : 424,307 = 424,307 : x
  2. Step 2: Convert to fraction form
    284,168/424,307 = 424,307/x
  3. Step 3: Cross multiply
    284,168x = 424,307 × 424,307
  4. Step 4: Simplify right side
    284,168x = 180,036,430,249
  5. Step 5: Solve for x
    x = 180,036,430,249/284,168
  6. Step 6: Final answer
    x = 633,556.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.