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Finding the Third Proportional to 262,004 and 561,394

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Solution

The third proportional to 262,004 and 561,394 is: 1,202,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,004 : 561,394 = 561,394 : x
  2. Step 2: Convert to fraction form
    262,004/561,394 = 561,394/x
  3. Step 3: Cross multiply
    262,004x = 561,394 × 561,394
  4. Step 4: Simplify right side
    262,004x = 315,163,223,236
  5. Step 5: Solve for x
    x = 315,163,223,236/262,004
  6. Step 6: Final answer
    x = 1,202,894.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.