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Finding the Third Proportional to 424,185.75 and 922,000.50

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Solution

The third proportional to 424,185.75 and 922,000.50 is: 2,004,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,185.75 : 922,000.50 = 922,000.50 : x
  2. Step 2: Convert to fraction form
    424,185.75/922,000.50 = 922,000.50/x
  3. Step 3: Cross multiply
    424,185.75x = 922,000.50 × 922,000.50
  4. Step 4: Simplify right side
    424,185.75x = 850,084,922,000.25
  5. Step 5: Solve for x
    x = 850,084,922,000.25/424,185.75
  6. Step 6: Final answer
    x = 2,004,039.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.