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Finding the Third Proportional to 535,563 and 734,379.75

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Solution

The third proportional to 535,563 and 734,379.75 is: 1,007,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,563 : 734,379.75 = 734,379.75 : x
  2. Step 2: Convert to fraction form
    535,563/734,379.75 = 734,379.75/x
  3. Step 3: Cross multiply
    535,563x = 734,379.75 × 734,379.75
  4. Step 4: Simplify right side
    535,563x = 539,313,617,210.06
  5. Step 5: Solve for x
    x = 539,313,617,210.06/535,563
  6. Step 6: Final answer
    x = 1,007,003.13

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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.