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Finding the Third Proportional to 297,674 and 651,235

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Solution

The third proportional to 297,674 and 651,235 is: 1,424,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,674 : 651,235 = 651,235 : x
  2. Step 2: Convert to fraction form
    297,674/651,235 = 651,235/x
  3. Step 3: Cross multiply
    297,674x = 651,235 × 651,235
  4. Step 4: Simplify right side
    297,674x = 424,107,025,225
  5. Step 5: Solve for x
    x = 424,107,025,225/297,674
  6. Step 6: Final answer
    x = 1,424,736.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.