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Finding the Third Proportional to 416,232 and 884,296

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Solution

The third proportional to 416,232 and 884,296 is: 1,878,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,232 : 884,296 = 884,296 : x
  2. Step 2: Convert to fraction form
    416,232/884,296 = 884,296/x
  3. Step 3: Cross multiply
    416,232x = 884,296 × 884,296
  4. Step 4: Simplify right side
    416,232x = 781,979,415,616
  5. Step 5: Solve for x
    x = 781,979,415,616/416,232
  6. Step 6: Final answer
    x = 1,878,710.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.