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Finding the Third Proportional to 284,170 and 424,310

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Solution

The third proportional to 284,170 and 424,310 is: 633,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,170 : 424,310 = 424,310 : x
  2. Step 2: Convert to fraction form
    284,170/424,310 = 424,310/x
  3. Step 3: Cross multiply
    284,170x = 424,310 × 424,310
  4. Step 4: Simplify right side
    284,170x = 180,038,976,100
  5. Step 5: Solve for x
    x = 180,038,976,100/284,170
  6. Step 6: Final answer
    x = 633,560.81

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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.