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Finding the Third Proportional to 259,994,664 and 354,112,347

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Solution

The third proportional to 259,994,664 and 354,112,347 is: 482,300,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,994,664 : 354,112,347 = 354,112,347 : x
  2. Step 2: Convert to fraction form
    259,994,664/354,112,347 = 354,112,347/x
  3. Step 3: Cross multiply
    259,994,664x = 354,112,347 × 354,112,347
  4. Step 4: Simplify right side
    259,994,664x = 125,395,554,297,848,416
  5. Step 5: Solve for x
    x = 125,395,554,297,848,416/259,994,664
  6. Step 6: Final answer
    x = 482,300,491.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.