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Finding the Third Proportional to 467,884.50 and 743,820

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Solution

The third proportional to 467,884.50 and 743,820 is: 1,182,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,884.50 : 743,820 = 743,820 : x
  2. Step 2: Convert to fraction form
    467,884.50/743,820 = 743,820/x
  3. Step 3: Cross multiply
    467,884.50x = 743,820 × 743,820
  4. Step 4: Simplify right side
    467,884.50x = 553,268,192,400
  5. Step 5: Solve for x
    x = 553,268,192,400/467,884.50
  6. Step 6: Final answer
    x = 1,182,488.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.