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Finding the Third Proportional to 539,798 and 806,722

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Solution

The third proportional to 539,798 and 806,722 is: 1,205,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,798 : 806,722 = 806,722 : x
  2. Step 2: Convert to fraction form
    539,798/806,722 = 806,722/x
  3. Step 3: Cross multiply
    539,798x = 806,722 × 806,722
  4. Step 4: Simplify right side
    539,798x = 650,800,385,284
  5. Step 5: Solve for x
    x = 650,800,385,284/539,798
  6. Step 6: Final answer
    x = 1,205,636.90

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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.