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Finding the Third Proportional to 540,837 and 783,351

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Solution

The third proportional to 540,837 and 783,351 is: 1,134,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,837 : 783,351 = 783,351 : x
  2. Step 2: Convert to fraction form
    540,837/783,351 = 783,351/x
  3. Step 3: Cross multiply
    540,837x = 783,351 × 783,351
  4. Step 4: Simplify right side
    540,837x = 613,638,789,201
  5. Step 5: Solve for x
    x = 613,638,789,201/540,837
  6. Step 6: Final answer
    x = 1,134,609.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.