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Finding the Third Proportional to 294,667 and 641,835

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Solution

The third proportional to 294,667 and 641,835 is: 1,398,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,667 : 641,835 = 641,835 : x
  2. Step 2: Convert to fraction form
    294,667/641,835 = 641,835/x
  3. Step 3: Cross multiply
    294,667x = 641,835 × 641,835
  4. Step 4: Simplify right side
    294,667x = 411,952,167,225
  5. Step 5: Solve for x
    x = 411,952,167,225/294,667
  6. Step 6: Final answer
    x = 1,398,026.14

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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.