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Finding the Third Proportional to 598,680 and 1,330,222.50

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Solution

The third proportional to 598,680 and 1,330,222.50 is: 2,955,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,680 : 1,330,222.50 = 1,330,222.50 : x
  2. Step 2: Convert to fraction form
    598,680/1,330,222.50 = 1,330,222.50/x
  3. Step 3: Cross multiply
    598,680x = 1,330,222.50 × 1,330,222.50
  4. Step 4: Simplify right side
    598,680x = 1,769,491,899,506.25
  5. Step 5: Solve for x
    x = 1,769,491,899,506.25/598,680
  6. Step 6: Final answer
    x = 2,955,655.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.