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Finding the Third Proportional to 320,056 and 466,926

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Solution

The third proportional to 320,056 and 466,926 is: 681,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,056 : 466,926 = 466,926 : x
  2. Step 2: Convert to fraction form
    320,056/466,926 = 466,926/x
  3. Step 3: Cross multiply
    320,056x = 466,926 × 466,926
  4. Step 4: Simplify right side
    320,056x = 218,019,889,476
  5. Step 5: Solve for x
    x = 218,019,889,476/320,056
  6. Step 6: Final answer
    x = 681,192.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.