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Finding the Third Proportional to 492,036 and 734,257

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Solution

The third proportional to 492,036 and 734,257 is: 1,095,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,036 : 734,257 = 734,257 : x
  2. Step 2: Convert to fraction form
    492,036/734,257 = 734,257/x
  3. Step 3: Cross multiply
    492,036x = 734,257 × 734,257
  4. Step 4: Simplify right side
    492,036x = 539,133,342,049
  5. Step 5: Solve for x
    x = 539,133,342,049/492,036
  6. Step 6: Final answer
    x = 1,095,719.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.