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Finding the Third Proportional to 260,938,498 and 365,002,638

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Solution

The third proportional to 260,938,498 and 365,002,638 is: 510,568,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,938,498 : 365,002,638 = 365,002,638 : x
  2. Step 2: Convert to fraction form
    260,938,498/365,002,638 = 365,002,638/x
  3. Step 3: Cross multiply
    260,938,498x = 365,002,638 × 365,002,638
  4. Step 4: Simplify right side
    260,938,498x = 133,226,925,746,959,040
  5. Step 5: Solve for x
    x = 133,226,925,746,959,040/260,938,498
  6. Step 6: Final answer
    x = 510,568,301.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.