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Finding the Third Proportional to 621,296 and 943,480

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Solution

The third proportional to 621,296 and 943,480 is: 1,432,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,296 : 943,480 = 943,480 : x
  2. Step 2: Convert to fraction form
    621,296/943,480 = 943,480/x
  3. Step 3: Cross multiply
    621,296x = 943,480 × 943,480
  4. Step 4: Simplify right side
    621,296x = 890,154,510,400
  5. Step 5: Solve for x
    x = 890,154,510,400/621,296
  6. Step 6: Final answer
    x = 1,432,738.20

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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.