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Finding the Third Proportional to 436,161,292.50 and 654,561,243

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Solution

The third proportional to 436,161,292.50 and 654,561,243 is: 982,321,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,161,292.50 : 654,561,243 = 654,561,243 : x
  2. Step 2: Convert to fraction form
    436,161,292.50/654,561,243 = 654,561,243/x
  3. Step 3: Cross multiply
    436,161,292.50x = 654,561,243 × 654,561,243
  4. Step 4: Simplify right side
    436,161,292.50x = 428,450,420,837,705,024
  5. Step 5: Solve for x
    x = 428,450,420,837,705,024/436,161,292.50
  6. Step 6: Final answer
    x = 982,321,054.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.