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Finding the Third Proportional to 284,294 and 612,328

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Solution

The third proportional to 284,294 and 612,328 is: 1,318,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,294 : 612,328 = 612,328 : x
  2. Step 2: Convert to fraction form
    284,294/612,328 = 612,328/x
  3. Step 3: Cross multiply
    284,294x = 612,328 × 612,328
  4. Step 4: Simplify right side
    284,294x = 374,945,579,584
  5. Step 5: Solve for x
    x = 374,945,579,584/284,294
  6. Step 6: Final answer
    x = 1,318,865.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.