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Finding the Third Proportional to 341,263 and 734,855

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Solution

The third proportional to 341,263 and 734,855 is: 1,582,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,263 : 734,855 = 734,855 : x
  2. Step 2: Convert to fraction form
    341,263/734,855 = 734,855/x
  3. Step 3: Cross multiply
    341,263x = 734,855 × 734,855
  4. Step 4: Simplify right side
    341,263x = 540,011,871,025
  5. Step 5: Solve for x
    x = 540,011,871,025/341,263
  6. Step 6: Final answer
    x = 1,582,392.09

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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.