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Finding the Third Proportional to 533,284 and 750,028

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Solution

The third proportional to 533,284 and 750,028 is: 1,054,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,284 : 750,028 = 750,028 : x
  2. Step 2: Convert to fraction form
    533,284/750,028 = 750,028/x
  3. Step 3: Cross multiply
    533,284x = 750,028 × 750,028
  4. Step 4: Simplify right side
    533,284x = 562,542,000,784
  5. Step 5: Solve for x
    x = 562,542,000,784/533,284
  6. Step 6: Final answer
    x = 1,054,863.83

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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.