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Finding the Third Proportional to 367,083 and 538,494

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Solution

The third proportional to 367,083 and 538,494 is: 789,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,083 : 538,494 = 538,494 : x
  2. Step 2: Convert to fraction form
    367,083/538,494 = 538,494/x
  3. Step 3: Cross multiply
    367,083x = 538,494 × 538,494
  4. Step 4: Simplify right side
    367,083x = 289,975,788,036
  5. Step 5: Solve for x
    x = 289,975,788,036/367,083
  6. Step 6: Final answer
    x = 789,946.11

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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.