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Finding the Third Proportional to 452,004.75 and 683,835.75

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Solution

The third proportional to 452,004.75 and 683,835.75 is: 1,034,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,004.75 : 683,835.75 = 683,835.75 : x
  2. Step 2: Convert to fraction form
    452,004.75/683,835.75 = 683,835.75/x
  3. Step 3: Cross multiply
    452,004.75x = 683,835.75 × 683,835.75
  4. Step 4: Simplify right side
    452,004.75x = 467,631,332,978.06
  5. Step 5: Solve for x
    x = 467,631,332,978.06/452,004.75
  6. Step 6: Final answer
    x = 1,034,571.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.