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Finding the Third Proportional to 294,557 and 641,600

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Solution

The third proportional to 294,557 and 641,600 is: 1,397,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,557 : 641,600 = 641,600 : x
  2. Step 2: Convert to fraction form
    294,557/641,600 = 641,600/x
  3. Step 3: Cross multiply
    294,557x = 641,600 × 641,600
  4. Step 4: Simplify right side
    294,557x = 411,650,560,000
  5. Step 5: Solve for x
    x = 411,650,560,000/294,557
  6. Step 6: Final answer
    x = 1,397,524.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.