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Finding the Third Proportional to 349,324 and 541,056

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Solution

The third proportional to 349,324 and 541,056 is: 838,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,324 : 541,056 = 541,056 : x
  2. Step 2: Convert to fraction form
    349,324/541,056 = 541,056/x
  3. Step 3: Cross multiply
    349,324x = 541,056 × 541,056
  4. Step 4: Simplify right side
    349,324x = 292,741,595,136
  5. Step 5: Solve for x
    x = 292,741,595,136/349,324
  6. Step 6: Final answer
    x = 838,023.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.