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Finding the Third Proportional to 260,414,233.50 and 561,715,575

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Solution

The third proportional to 260,414,233.50 and 561,715,575 is: 1,211,624,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,414,233.50 : 561,715,575 = 561,715,575 : x
  2. Step 2: Convert to fraction form
    260,414,233.50/561,715,575 = 561,715,575/x
  3. Step 3: Cross multiply
    260,414,233.50x = 561,715,575 × 561,715,575
  4. Step 4: Simplify right side
    260,414,233.50x = 315,524,387,197,580,608
  5. Step 5: Solve for x
    x = 315,524,387,197,580,608/260,414,233.50
  6. Step 6: Final answer
    x = 1,211,624,967.49

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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.