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Finding the Third Proportional to 459,036 and 701,766

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Solution

The third proportional to 459,036 and 701,766 is: 1,072,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,036 : 701,766 = 701,766 : x
  2. Step 2: Convert to fraction form
    459,036/701,766 = 701,766/x
  3. Step 3: Cross multiply
    459,036x = 701,766 × 701,766
  4. Step 4: Simplify right side
    459,036x = 492,475,518,756
  5. Step 5: Solve for x
    x = 492,475,518,756/459,036
  6. Step 6: Final answer
    x = 1,072,847.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.