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Finding the Third Proportional to 533,268 and 750,006

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Solution

The third proportional to 533,268 and 750,006 is: 1,054,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,268 : 750,006 = 750,006 : x
  2. Step 2: Convert to fraction form
    533,268/750,006 = 750,006/x
  3. Step 3: Cross multiply
    533,268x = 750,006 × 750,006
  4. Step 4: Simplify right side
    533,268x = 562,509,000,036
  5. Step 5: Solve for x
    x = 562,509,000,036/533,268
  6. Step 6: Final answer
    x = 1,054,833.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.