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Finding the Third Proportional to 374,452 and 812,396

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Solution

The third proportional to 374,452 and 812,396 is: 1,762,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,452 : 812,396 = 812,396 : x
  2. Step 2: Convert to fraction form
    374,452/812,396 = 812,396/x
  3. Step 3: Cross multiply
    374,452x = 812,396 × 812,396
  4. Step 4: Simplify right side
    374,452x = 659,987,260,816
  5. Step 5: Solve for x
    x = 659,987,260,816/374,452
  6. Step 6: Final answer
    x = 1,762,541.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.