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Finding the Third Proportional to 274,860 and 392,002

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Solution

The third proportional to 274,860 and 392,002 is: 559,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,860 : 392,002 = 392,002 : x
  2. Step 2: Convert to fraction form
    274,860/392,002 = 392,002/x
  3. Step 3: Cross multiply
    274,860x = 392,002 × 392,002
  4. Step 4: Simplify right side
    274,860x = 153,665,568,004
  5. Step 5: Solve for x
    x = 153,665,568,004/274,860
  6. Step 6: Final answer
    x = 559,068.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.