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Finding the Third Proportional to 535,728 and 830,052

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Solution

The third proportional to 535,728 and 830,052 is: 1,286,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,728 : 830,052 = 830,052 : x
  2. Step 2: Convert to fraction form
    535,728/830,052 = 830,052/x
  3. Step 3: Cross multiply
    535,728x = 830,052 × 830,052
  4. Step 4: Simplify right side
    535,728x = 688,986,322,704
  5. Step 5: Solve for x
    x = 688,986,322,704/535,728
  6. Step 6: Final answer
    x = 1,286,074.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.