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Finding the Third Proportional to 264,817 and 579,148

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Solution

The third proportional to 264,817 and 579,148 is: 1,266,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,817 : 579,148 = 579,148 : x
  2. Step 2: Convert to fraction form
    264,817/579,148 = 579,148/x
  3. Step 3: Cross multiply
    264,817x = 579,148 × 579,148
  4. Step 4: Simplify right side
    264,817x = 335,412,405,904
  5. Step 5: Solve for x
    x = 335,412,405,904/264,817
  6. Step 6: Final answer
    x = 1,266,581.85

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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.