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Finding the Third Proportional to 294,559 and 641,604

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Solution

The third proportional to 294,559 and 641,604 is: 1,397,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,559 : 641,604 = 641,604 : x
  2. Step 2: Convert to fraction form
    294,559/641,604 = 641,604/x
  3. Step 3: Cross multiply
    294,559x = 641,604 × 641,604
  4. Step 4: Simplify right side
    294,559x = 411,655,692,816
  5. Step 5: Solve for x
    x = 411,655,692,816/294,559
  6. Step 6: Final answer
    x = 1,397,532.22

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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.