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Finding the Third Proportional to 279,548 and 603,592

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Solution

The third proportional to 279,548 and 603,592 is: 1,303,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,548 : 603,592 = 603,592 : x
  2. Step 2: Convert to fraction form
    279,548/603,592 = 603,592/x
  3. Step 3: Cross multiply
    279,548x = 603,592 × 603,592
  4. Step 4: Simplify right side
    279,548x = 364,323,302,464
  5. Step 5: Solve for x
    x = 364,323,302,464/279,548
  6. Step 6: Final answer
    x = 1,303,258.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.