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Finding the Third Proportional to 433,954,894.50 and 654,967,984.50

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Solution

The third proportional to 433,954,894.50 and 654,967,984.50 is: 988,542,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,954,894.50 : 654,967,984.50 = 654,967,984.50 : x
  2. Step 2: Convert to fraction form
    433,954,894.50/654,967,984.50 = 654,967,984.50/x
  3. Step 3: Cross multiply
    433,954,894.50x = 654,967,984.50 × 654,967,984.50
  4. Step 4: Simplify right side
    433,954,894.50x = 428,983,060,719,992,256
  5. Step 5: Solve for x
    x = 428,983,060,719,992,256/433,954,894.50
  6. Step 6: Final answer
    x = 988,542,971.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.