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Finding the Third Proportional to 260,938,500 and 365,002,641

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Solution

The third proportional to 260,938,500 and 365,002,641 is: 510,568,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,938,500 : 365,002,641 = 365,002,641 : x
  2. Step 2: Convert to fraction form
    260,938,500/365,002,641 = 365,002,641/x
  3. Step 3: Cross multiply
    260,938,500x = 365,002,641 × 365,002,641
  4. Step 4: Simplify right side
    260,938,500x = 133,226,927,936,974,880
  5. Step 5: Solve for x
    x = 133,226,927,936,974,880/260,938,500
  6. Step 6: Final answer
    x = 510,568,306.08

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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.