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Finding the Third Proportional to 533,304 and 1,126,560

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Solution

The third proportional to 533,304 and 1,126,560 is: 2,379,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,304 : 1,126,560 = 1,126,560 : x
  2. Step 2: Convert to fraction form
    533,304/1,126,560 = 1,126,560/x
  3. Step 3: Cross multiply
    533,304x = 1,126,560 × 1,126,560
  4. Step 4: Simplify right side
    533,304x = 1,269,137,433,600
  5. Step 5: Solve for x
    x = 1,269,137,433,600/533,304
  6. Step 6: Final answer
    x = 2,379,763.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.