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Finding the Third Proportional to 465,445,328.63 and 694,131,747.75

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Solution

The third proportional to 465,445,328.63 and 694,131,747.75 is: 1,035,178,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,445,328.63 : 694,131,747.75 = 694,131,747.75 : x
  2. Step 2: Convert to fraction form
    465,445,328.63/694,131,747.75 = 694,131,747.75/x
  3. Step 3: Cross multiply
    465,445,328.63x = 694,131,747.75 × 694,131,747.75
  4. Step 4: Simplify right side
    465,445,328.63x = 481,818,883,234,469,632
  5. Step 5: Solve for x
    x = 481,818,883,234,469,632/465,445,328.63
  6. Step 6: Final answer
    x = 1,035,178,255.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.