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Finding the Third Proportional to 289,199,892 and 440,576,352

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Solution

The third proportional to 289,199,892 and 440,576,352 is: 671,188,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,199,892 : 440,576,352 = 440,576,352 : x
  2. Step 2: Convert to fraction form
    289,199,892/440,576,352 = 440,576,352/x
  3. Step 3: Cross multiply
    289,199,892x = 440,576,352 × 440,576,352
  4. Step 4: Simplify right side
    289,199,892x = 194,107,521,941,627,904
  5. Step 5: Solve for x
    x = 194,107,521,941,627,904/289,199,892
  6. Step 6: Final answer
    x = 671,188,085.86

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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.