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Finding the Third Proportional to 339,051,544 and 732,296,624

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Solution

The third proportional to 339,051,544 and 732,296,624 is: 1,581,642,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,051,544 : 732,296,624 = 732,296,624 : x
  2. Step 2: Convert to fraction form
    339,051,544/732,296,624 = 732,296,624/x
  3. Step 3: Cross multiply
    339,051,544x = 732,296,624 × 732,296,624
  4. Step 4: Simplify right side
    339,051,544x = 536,258,345,521,797,376
  5. Step 5: Solve for x
    x = 536,258,345,521,797,376/339,051,544
  6. Step 6: Final answer
    x = 1,581,642,540.82

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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.