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Finding the Third Proportional to 535,714 and 734,563

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Solution

The third proportional to 535,714 and 734,563 is: 1,007,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,714 : 734,563 = 734,563 : x
  2. Step 2: Convert to fraction form
    535,714/734,563 = 734,563/x
  3. Step 3: Cross multiply
    535,714x = 734,563 × 734,563
  4. Step 4: Simplify right side
    535,714x = 539,582,800,969
  5. Step 5: Solve for x
    x = 539,582,800,969/535,714
  6. Step 6: Final answer
    x = 1,007,221.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.