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Finding the Third Proportional to 488,596.50 and 704,867

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Solution

The third proportional to 488,596.50 and 704,867 is: 1,016,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,596.50 : 704,867 = 704,867 : x
  2. Step 2: Convert to fraction form
    488,596.50/704,867 = 704,867/x
  3. Step 3: Cross multiply
    488,596.50x = 704,867 × 704,867
  4. Step 4: Simplify right side
    488,596.50x = 496,837,487,689
  5. Step 5: Solve for x
    x = 496,837,487,689/488,596.50
  6. Step 6: Final answer
    x = 1,016,866.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.