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Finding the Third Proportional to 264,897 and 574,647

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Solution

The third proportional to 264,897 and 574,647 is: 1,246,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,897 : 574,647 = 574,647 : x
  2. Step 2: Convert to fraction form
    264,897/574,647 = 574,647/x
  3. Step 3: Cross multiply
    264,897x = 574,647 × 574,647
  4. Step 4: Simplify right side
    264,897x = 330,219,174,609
  5. Step 5: Solve for x
    x = 330,219,174,609/264,897
  6. Step 6: Final answer
    x = 1,246,594.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.