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Finding the Third Proportional to 297,191 and 579,498

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Solution

The third proportional to 297,191 and 579,498 is: 1,129,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,191 : 579,498 = 579,498 : x
  2. Step 2: Convert to fraction form
    297,191/579,498 = 579,498/x
  3. Step 3: Cross multiply
    297,191x = 579,498 × 579,498
  4. Step 4: Simplify right side
    297,191x = 335,817,932,004
  5. Step 5: Solve for x
    x = 335,817,932,004/297,191
  6. Step 6: Final answer
    x = 1,129,973.42

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.