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Finding the Third Proportional to 554,834 and 838,083

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Solution

The third proportional to 554,834 and 838,083 is: 1,265,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,834 : 838,083 = 838,083 : x
  2. Step 2: Convert to fraction form
    554,834/838,083 = 838,083/x
  3. Step 3: Cross multiply
    554,834x = 838,083 × 838,083
  4. Step 4: Simplify right side
    554,834x = 702,383,114,889
  5. Step 5: Solve for x
    x = 702,383,114,889/554,834
  6. Step 6: Final answer
    x = 1,265,933.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.