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Finding the Third Proportional to 324,136 and 674,260

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Solution

The third proportional to 324,136 and 674,260 is: 1,402,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,136 : 674,260 = 674,260 : x
  2. Step 2: Convert to fraction form
    324,136/674,260 = 674,260/x
  3. Step 3: Cross multiply
    324,136x = 674,260 × 674,260
  4. Step 4: Simplify right side
    324,136x = 454,626,547,600
  5. Step 5: Solve for x
    x = 454,626,547,600/324,136
  6. Step 6: Final answer
    x = 1,402,579.62

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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.