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Finding the Third Proportional to 283,520,349 and 437,376,825

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Solution

The third proportional to 283,520,349 and 437,376,825 is: 674,725,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,520,349 : 437,376,825 = 437,376,825 : x
  2. Step 2: Convert to fraction form
    283,520,349/437,376,825 = 437,376,825/x
  3. Step 3: Cross multiply
    283,520,349x = 437,376,825 × 437,376,825
  4. Step 4: Simplify right side
    283,520,349x = 191,298,487,047,080,640
  5. Step 5: Solve for x
    x = 191,298,487,047,080,640/283,520,349
  6. Step 6: Final answer
    x = 674,725,774.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.