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Finding the Third Proportional to 284,194 and 424,341

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Solution

The third proportional to 284,194 and 424,341 is: 633,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,194 : 424,341 = 424,341 : x
  2. Step 2: Convert to fraction form
    284,194/424,341 = 424,341/x
  3. Step 3: Cross multiply
    284,194x = 424,341 × 424,341
  4. Step 4: Simplify right side
    284,194x = 180,065,284,281
  5. Step 5: Solve for x
    x = 180,065,284,281/284,194
  6. Step 6: Final answer
    x = 633,599.88

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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.