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Finding the Third Proportional to 345,571 and 540,928

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Solution

The third proportional to 345,571 and 540,928 is: 846,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,571 : 540,928 = 540,928 : x
  2. Step 2: Convert to fraction form
    345,571/540,928 = 540,928/x
  3. Step 3: Cross multiply
    345,571x = 540,928 × 540,928
  4. Step 4: Simplify right side
    345,571x = 292,603,101,184
  5. Step 5: Solve for x
    x = 292,603,101,184/345,571
  6. Step 6: Final answer
    x = 846,723.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.