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Finding the Third Proportional to 500,708 and 768,558

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Solution

The third proportional to 500,708 and 768,558 is: 1,179,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,708 : 768,558 = 768,558 : x
  2. Step 2: Convert to fraction form
    500,708/768,558 = 768,558/x
  3. Step 3: Cross multiply
    500,708x = 768,558 × 768,558
  4. Step 4: Simplify right side
    500,708x = 590,681,399,364
  5. Step 5: Solve for x
    x = 590,681,399,364/500,708
  6. Step 6: Final answer
    x = 1,179,692.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.