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Finding the Third Proportional to 560,453 and 892,223.75

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Solution

The third proportional to 560,453 and 892,223.75 is: 1,420,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,453 : 892,223.75 = 892,223.75 : x
  2. Step 2: Convert to fraction form
    560,453/892,223.75 = 892,223.75/x
  3. Step 3: Cross multiply
    560,453x = 892,223.75 × 892,223.75
  4. Step 4: Simplify right side
    560,453x = 796,063,220,064.06
  5. Step 5: Solve for x
    x = 796,063,220,064.06/560,453
  6. Step 6: Final answer
    x = 1,420,392.47

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.