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Finding the Third Proportional to 279,403 and 603,454

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Solution

The third proportional to 279,403 and 603,454 is: 1,303,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,403 : 603,454 = 603,454 : x
  2. Step 2: Convert to fraction form
    279,403/603,454 = 603,454/x
  3. Step 3: Cross multiply
    279,403x = 603,454 × 603,454
  4. Step 4: Simplify right side
    279,403x = 364,156,730,116
  5. Step 5: Solve for x
    x = 364,156,730,116/279,403
  6. Step 6: Final answer
    x = 1,303,338.65

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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.