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Finding the Third Proportional to 367,056 and 538,453

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Solution

The third proportional to 367,056 and 538,453 is: 789,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,056 : 538,453 = 538,453 : x
  2. Step 2: Convert to fraction form
    367,056/538,453 = 538,453/x
  3. Step 3: Cross multiply
    367,056x = 538,453 × 538,453
  4. Step 4: Simplify right side
    367,056x = 289,931,633,209
  5. Step 5: Solve for x
    x = 289,931,633,209/367,056
  6. Step 6: Final answer
    x = 789,883.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.