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Finding the Third Proportional to 255,554,112 and 417,252,672

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Solution

The third proportional to 255,554,112 and 417,252,672 is: 681,263,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,554,112 : 417,252,672 = 417,252,672 : x
  2. Step 2: Convert to fraction form
    255,554,112/417,252,672 = 417,252,672/x
  3. Step 3: Cross multiply
    255,554,112x = 417,252,672 × 417,252,672
  4. Step 4: Simplify right side
    255,554,112x = 174,099,792,291,139,584
  5. Step 5: Solve for x
    x = 174,099,792,291,139,584/255,554,112
  6. Step 6: Final answer
    x = 681,263,905.04

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.