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Finding the Third Proportional to 374,882 and 809,632

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Solution

The third proportional to 374,882 and 809,632 is: 1,748,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,882 : 809,632 = 809,632 : x
  2. Step 2: Convert to fraction form
    374,882/809,632 = 809,632/x
  3. Step 3: Cross multiply
    374,882x = 809,632 × 809,632
  4. Step 4: Simplify right side
    374,882x = 655,503,975,424
  5. Step 5: Solve for x
    x = 655,503,975,424/374,882
  6. Step 6: Final answer
    x = 1,748,560.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.