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Finding the Third Proportional to 264,969 and 574,367

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Solution

The third proportional to 264,969 and 574,367 is: 1,245,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,969 : 574,367 = 574,367 : x
  2. Step 2: Convert to fraction form
    264,969/574,367 = 574,367/x
  3. Step 3: Cross multiply
    264,969x = 574,367 × 574,367
  4. Step 4: Simplify right side
    264,969x = 329,897,450,689
  5. Step 5: Solve for x
    x = 329,897,450,689/264,969
  6. Step 6: Final answer
    x = 1,245,041.69

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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.