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Finding the Third Proportional to 533,276 and 750,016

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Solution

The third proportional to 533,276 and 750,016 is: 1,054,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,276 : 750,016 = 750,016 : x
  2. Step 2: Convert to fraction form
    533,276/750,016 = 750,016/x
  3. Step 3: Cross multiply
    533,276x = 750,016 × 750,016
  4. Step 4: Simplify right side
    533,276x = 562,524,000,256
  5. Step 5: Solve for x
    x = 562,524,000,256/533,276
  6. Step 6: Final answer
    x = 1,054,845.90

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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.