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Finding the Third Proportional to 367,984 and 548,088

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Solution

The third proportional to 367,984 and 548,088 is: 816,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,984 : 548,088 = 548,088 : x
  2. Step 2: Convert to fraction form
    367,984/548,088 = 548,088/x
  3. Step 3: Cross multiply
    367,984x = 548,088 × 548,088
  4. Step 4: Simplify right side
    367,984x = 300,400,455,744
  5. Step 5: Solve for x
    x = 300,400,455,744/367,984
  6. Step 6: Final answer
    x = 816,341.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.