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Finding the Third Proportional to 580,798 and 879,954

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Solution

The third proportional to 580,798 and 879,954 is: 1,333,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,798 : 879,954 = 879,954 : x
  2. Step 2: Convert to fraction form
    580,798/879,954 = 879,954/x
  3. Step 3: Cross multiply
    580,798x = 879,954 × 879,954
  4. Step 4: Simplify right side
    580,798x = 774,319,042,116
  5. Step 5: Solve for x
    x = 774,319,042,116/580,798
  6. Step 6: Final answer
    x = 1,333,198.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.