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Finding the Third Proportional to 282,798 and 609,876

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Solution

The third proportional to 282,798 and 609,876 is: 1,315,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,798 : 609,876 = 609,876 : x
  2. Step 2: Convert to fraction form
    282,798/609,876 = 609,876/x
  3. Step 3: Cross multiply
    282,798x = 609,876 × 609,876
  4. Step 4: Simplify right side
    282,798x = 371,948,735,376
  5. Step 5: Solve for x
    x = 371,948,735,376/282,798
  6. Step 6: Final answer
    x = 1,315,245.28

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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.