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Finding the Third Proportional to 436,587.75 and 662,262.75

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Solution

The third proportional to 436,587.75 and 662,262.75 is: 1,004,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,587.75 : 662,262.75 = 662,262.75 : x
  2. Step 2: Convert to fraction form
    436,587.75/662,262.75 = 662,262.75/x
  3. Step 3: Cross multiply
    436,587.75x = 662,262.75 × 662,262.75
  4. Step 4: Simplify right side
    436,587.75x = 438,591,950,037.56
  5. Step 5: Solve for x
    x = 438,591,950,037.56/436,587.75
  6. Step 6: Final answer
    x = 1,004,590.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.