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Finding the Third Proportional to 269,004 and 377,002

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Solution

The third proportional to 269,004 and 377,002 is: 528,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,004 : 377,002 = 377,002 : x
  2. Step 2: Convert to fraction form
    269,004/377,002 = 377,002/x
  3. Step 3: Cross multiply
    269,004x = 377,002 × 377,002
  4. Step 4: Simplify right side
    269,004x = 142,130,508,004
  5. Step 5: Solve for x
    x = 142,130,508,004/269,004
  6. Step 6: Final answer
    x = 528,358.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.