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Finding the Third Proportional to 367,071 and 538,476

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Solution

The third proportional to 367,071 and 538,476 is: 789,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,071 : 538,476 = 538,476 : x
  2. Step 2: Convert to fraction form
    367,071/538,476 = 538,476/x
  3. Step 3: Cross multiply
    367,071x = 538,476 × 538,476
  4. Step 4: Simplify right side
    367,071x = 289,956,402,576
  5. Step 5: Solve for x
    x = 289,956,402,576/367,071
  6. Step 6: Final answer
    x = 789,919.12

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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.