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Finding the Third Proportional to 426,954 and 669,729

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Solution

The third proportional to 426,954 and 669,729 is: 1,050,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,954 : 669,729 = 669,729 : x
  2. Step 2: Convert to fraction form
    426,954/669,729 = 669,729/x
  3. Step 3: Cross multiply
    426,954x = 669,729 × 669,729
  4. Step 4: Simplify right side
    426,954x = 448,536,933,441
  5. Step 5: Solve for x
    x = 448,536,933,441/426,954
  6. Step 6: Final answer
    x = 1,050,550.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.