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Finding the Third Proportional to 637,362 and 978,327

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Solution

The third proportional to 637,362 and 978,327 is: 1,501,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,362 : 978,327 = 978,327 : x
  2. Step 2: Convert to fraction form
    637,362/978,327 = 978,327/x
  3. Step 3: Cross multiply
    637,362x = 978,327 × 978,327
  4. Step 4: Simplify right side
    637,362x = 957,123,718,929
  5. Step 5: Solve for x
    x = 957,123,718,929/637,362
  6. Step 6: Final answer
    x = 1,501,695.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.