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Finding the Third Proportional to 367,104 and 557,640

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Solution

The third proportional to 367,104 and 557,640 is: 847,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,104 : 557,640 = 557,640 : x
  2. Step 2: Convert to fraction form
    367,104/557,640 = 557,640/x
  3. Step 3: Cross multiply
    367,104x = 557,640 × 557,640
  4. Step 4: Simplify right side
    367,104x = 310,962,369,600
  5. Step 5: Solve for x
    x = 310,962,369,600/367,104
  6. Step 6: Final answer
    x = 847,068.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.