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Finding the Third Proportional to 500,702 and 768,548

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Solution

The third proportional to 500,702 and 768,548 is: 1,179,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,702 : 768,548 = 768,548 : x
  2. Step 2: Convert to fraction form
    500,702/768,548 = 768,548/x
  3. Step 3: Cross multiply
    500,702x = 768,548 × 768,548
  4. Step 4: Simplify right side
    500,702x = 590,666,028,304
  5. Step 5: Solve for x
    x = 590,666,028,304/500,702
  6. Step 6: Final answer
    x = 1,179,675.79

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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.