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Finding the Third Proportional to 284,013 and 612,312

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Solution

The third proportional to 284,013 and 612,312 is: 1,320,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,013 : 612,312 = 612,312 : x
  2. Step 2: Convert to fraction form
    284,013/612,312 = 612,312/x
  3. Step 3: Cross multiply
    284,013x = 612,312 × 612,312
  4. Step 4: Simplify right side
    284,013x = 374,925,985,344
  5. Step 5: Solve for x
    x = 374,925,985,344/284,013
  6. Step 6: Final answer
    x = 1,320,101.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.