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Finding the Third Proportional to 324,154 and 674,300

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Solution

The third proportional to 324,154 and 674,300 is: 1,402,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,154 : 674,300 = 674,300 : x
  2. Step 2: Convert to fraction form
    324,154/674,300 = 674,300/x
  3. Step 3: Cross multiply
    324,154x = 674,300 × 674,300
  4. Step 4: Simplify right side
    324,154x = 454,680,490,000
  5. Step 5: Solve for x
    x = 454,680,490,000/324,154
  6. Step 6: Final answer
    x = 1,402,668.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.