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Finding the Third Proportional to 437,308 and 943,520

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Solution

The third proportional to 437,308 and 943,520 is: 2,035,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,308 : 943,520 = 943,520 : x
  2. Step 2: Convert to fraction form
    437,308/943,520 = 943,520/x
  3. Step 3: Cross multiply
    437,308x = 943,520 × 943,520
  4. Step 4: Simplify right side
    437,308x = 890,229,990,400
  5. Step 5: Solve for x
    x = 890,229,990,400/437,308
  6. Step 6: Final answer
    x = 2,035,704.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.