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Finding the Third Proportional to 416,958 and 910,372

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Solution

The third proportional to 416,958 and 910,372 is: 1,987,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,958 : 910,372 = 910,372 : x
  2. Step 2: Convert to fraction form
    416,958/910,372 = 910,372/x
  3. Step 3: Cross multiply
    416,958x = 910,372 × 910,372
  4. Step 4: Simplify right side
    416,958x = 828,777,178,384
  5. Step 5: Solve for x
    x = 828,777,178,384/416,958
  6. Step 6: Final answer
    x = 1,987,675.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.