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Finding the Third Proportional to 598,606 and 1,330,072.50

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Solution

The third proportional to 598,606 and 1,330,072.50 is: 2,955,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,606 : 1,330,072.50 = 1,330,072.50 : x
  2. Step 2: Convert to fraction form
    598,606/1,330,072.50 = 1,330,072.50/x
  3. Step 3: Cross multiply
    598,606x = 1,330,072.50 × 1,330,072.50
  4. Step 4: Simplify right side
    598,606x = 1,769,092,855,256.25
  5. Step 5: Solve for x
    x = 1,769,092,855,256.25/598,606
  6. Step 6: Final answer
    x = 2,955,354.37

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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.