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Finding the Third Proportional to 354,951 and 770,106

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Solution

The third proportional to 354,951 and 770,106 is: 1,670,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,951 : 770,106 = 770,106 : x
  2. Step 2: Convert to fraction form
    354,951/770,106 = 770,106/x
  3. Step 3: Cross multiply
    354,951x = 770,106 × 770,106
  4. Step 4: Simplify right side
    354,951x = 593,063,251,236
  5. Step 5: Solve for x
    x = 593,063,251,236/354,951
  6. Step 6: Final answer
    x = 1,670,831.33

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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.