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Finding the Third Proportional to 392,569 and 859,905

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Solution

The third proportional to 392,569 and 859,905 is: 1,883,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,569 : 859,905 = 859,905 : x
  2. Step 2: Convert to fraction form
    392,569/859,905 = 859,905/x
  3. Step 3: Cross multiply
    392,569x = 859,905 × 859,905
  4. Step 4: Simplify right side
    392,569x = 739,436,609,025
  5. Step 5: Solve for x
    x = 739,436,609,025/392,569
  6. Step 6: Final answer
    x = 1,883,583.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.