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Finding the Third Proportional to 533,367 and 1,166,364

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Solution

The third proportional to 533,367 and 1,166,364 is: 2,550,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,367 : 1,166,364 = 1,166,364 : x
  2. Step 2: Convert to fraction form
    533,367/1,166,364 = 1,166,364/x
  3. Step 3: Cross multiply
    533,367x = 1,166,364 × 1,166,364
  4. Step 4: Simplify right side
    533,367x = 1,360,404,980,496
  5. Step 5: Solve for x
    x = 1,360,404,980,496/533,367
  6. Step 6: Final answer
    x = 2,550,598.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.