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Finding the Third Proportional to 264,813.75 and 579,141

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Solution

The third proportional to 264,813.75 and 579,141 is: 1,266,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,813.75 : 579,141 = 579,141 : x
  2. Step 2: Convert to fraction form
    264,813.75/579,141 = 579,141/x
  3. Step 3: Cross multiply
    264,813.75x = 579,141 × 579,141
  4. Step 4: Simplify right side
    264,813.75x = 335,404,297,881
  5. Step 5: Solve for x
    x = 335,404,297,881/264,813.75
  6. Step 6: Final answer
    x = 1,266,566.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.