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Finding the Third Proportional to 326,292 and 670,152

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Solution

The third proportional to 326,292 and 670,152 is: 1,376,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,292 : 670,152 = 670,152 : x
  2. Step 2: Convert to fraction form
    326,292/670,152 = 670,152/x
  3. Step 3: Cross multiply
    326,292x = 670,152 × 670,152
  4. Step 4: Simplify right side
    326,292x = 449,103,703,104
  5. Step 5: Solve for x
    x = 449,103,703,104/326,292
  6. Step 6: Final answer
    x = 1,376,385.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.