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Finding the Third Proportional to 500,698 and 768,543

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Solution

The third proportional to 500,698 and 768,543 is: 1,179,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,698 : 768,543 = 768,543 : x
  2. Step 2: Convert to fraction form
    500,698/768,543 = 768,543/x
  3. Step 3: Cross multiply
    500,698x = 768,543 × 768,543
  4. Step 4: Simplify right side
    500,698x = 590,658,342,849
  5. Step 5: Solve for x
    x = 590,658,342,849/500,698
  6. Step 6: Final answer
    x = 1,179,669.87

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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.