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Finding the Third Proportional to 414,776 and 888,300

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Solution

The third proportional to 414,776 and 888,300 is: 1,902,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,776 : 888,300 = 888,300 : x
  2. Step 2: Convert to fraction form
    414,776/888,300 = 888,300/x
  3. Step 3: Cross multiply
    414,776x = 888,300 × 888,300
  4. Step 4: Simplify right side
    414,776x = 789,076,890,000
  5. Step 5: Solve for x
    x = 789,076,890,000/414,776
  6. Step 6: Final answer
    x = 1,902,416.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.