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Finding the Third Proportional to 374,969 and 818,527

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Solution

The third proportional to 374,969 and 818,527 is: 1,786,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,969 : 818,527 = 818,527 : x
  2. Step 2: Convert to fraction form
    374,969/818,527 = 818,527/x
  3. Step 3: Cross multiply
    374,969x = 818,527 × 818,527
  4. Step 4: Simplify right side
    374,969x = 669,986,449,729
  5. Step 5: Solve for x
    x = 669,986,449,729/374,969
  6. Step 6: Final answer
    x = 1,786,778.24

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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.