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Finding the Third Proportional to 414,976 and 910,296

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Solution

The third proportional to 414,976 and 910,296 is: 1,996,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,976 : 910,296 = 910,296 : x
  2. Step 2: Convert to fraction form
    414,976/910,296 = 910,296/x
  3. Step 3: Cross multiply
    414,976x = 910,296 × 910,296
  4. Step 4: Simplify right side
    414,976x = 828,638,807,616
  5. Step 5: Solve for x
    x = 828,638,807,616/414,976
  6. Step 6: Final answer
    x = 1,996,835.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.