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Finding the Third Proportional to 341,259 and 734,847

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Solution

The third proportional to 341,259 and 734,847 is: 1,582,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,259 : 734,847 = 734,847 : x
  2. Step 2: Convert to fraction form
    341,259/734,847 = 734,847/x
  3. Step 3: Cross multiply
    341,259x = 734,847 × 734,847
  4. Step 4: Simplify right side
    341,259x = 540,000,113,409
  5. Step 5: Solve for x
    x = 540,000,113,409/341,259
  6. Step 6: Final answer
    x = 1,582,376.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.