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Finding the Third Proportional to 474,100 and 670,830

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Solution

The third proportional to 474,100 and 670,830 is: 949,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,100 : 670,830 = 670,830 : x
  2. Step 2: Convert to fraction form
    474,100/670,830 = 670,830/x
  3. Step 3: Cross multiply
    474,100x = 670,830 × 670,830
  4. Step 4: Simplify right side
    474,100x = 450,012,888,900
  5. Step 5: Solve for x
    x = 450,012,888,900/474,100
  6. Step 6: Final answer
    x = 949,194.03

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.