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Finding the Third Proportional to 533,272 and 750,012

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Solution

The third proportional to 533,272 and 750,012 is: 1,054,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,272 : 750,012 = 750,012 : x
  2. Step 2: Convert to fraction form
    533,272/750,012 = 750,012/x
  3. Step 3: Cross multiply
    533,272x = 750,012 × 750,012
  4. Step 4: Simplify right side
    533,272x = 562,518,000,144
  5. Step 5: Solve for x
    x = 562,518,000,144/533,272
  6. Step 6: Final answer
    x = 1,054,842.56

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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.