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Finding the Third Proportional to 354,745 and 770,726

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Solution

The third proportional to 354,745 and 770,726 is: 1,674,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,745 : 770,726 = 770,726 : x
  2. Step 2: Convert to fraction form
    354,745/770,726 = 770,726/x
  3. Step 3: Cross multiply
    354,745x = 770,726 × 770,726
  4. Step 4: Simplify right side
    354,745x = 594,018,567,076
  5. Step 5: Solve for x
    x = 594,018,567,076/354,745
  6. Step 6: Final answer
    x = 1,674,494.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.