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Finding the Third Proportional to 301,804 and 452,741

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Solution

The third proportional to 301,804 and 452,741 is: 679,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,804 : 452,741 = 452,741 : x
  2. Step 2: Convert to fraction form
    301,804/452,741 = 452,741/x
  3. Step 3: Cross multiply
    301,804x = 452,741 × 452,741
  4. Step 4: Simplify right side
    301,804x = 204,974,413,081
  5. Step 5: Solve for x
    x = 204,974,413,081/301,804
  6. Step 6: Final answer
    x = 679,164.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.