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Finding the Third Proportional to 301,590 and 459,462

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Solution

The third proportional to 301,590 and 459,462 is: 699,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,590 : 459,462 = 459,462 : x
  2. Step 2: Convert to fraction form
    301,590/459,462 = 459,462/x
  3. Step 3: Cross multiply
    301,590x = 459,462 × 459,462
  4. Step 4: Simplify right side
    301,590x = 211,105,329,444
  5. Step 5: Solve for x
    x = 211,105,329,444/301,590
  6. Step 6: Final answer
    x = 699,974.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.