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Finding the Third Proportional to 366,920 and 788,084

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Solution

The third proportional to 366,920 and 788,084 is: 1,692,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,920 : 788,084 = 788,084 : x
  2. Step 2: Convert to fraction form
    366,920/788,084 = 788,084/x
  3. Step 3: Cross multiply
    366,920x = 788,084 × 788,084
  4. Step 4: Simplify right side
    366,920x = 621,076,391,056
  5. Step 5: Solve for x
    x = 621,076,391,056/366,920
  6. Step 6: Final answer
    x = 1,692,675.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.