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Finding the Third Proportional to 350,148 and 763,668

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Solution

The third proportional to 350,148 and 763,668 is: 1,665,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,148 : 763,668 = 763,668 : x
  2. Step 2: Convert to fraction form
    350,148/763,668 = 763,668/x
  3. Step 3: Cross multiply
    350,148x = 763,668 × 763,668
  4. Step 4: Simplify right side
    350,148x = 583,188,814,224
  5. Step 5: Solve for x
    x = 583,188,814,224/350,148
  6. Step 6: Final answer
    x = 1,665,549.47

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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.