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Finding the Third Proportional to 272,256,120 and 597,411,504

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Solution

The third proportional to 272,256,120 and 597,411,504 is: 1,310,899,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,256,120 : 597,411,504 = 597,411,504 : x
  2. Step 2: Convert to fraction form
    272,256,120/597,411,504 = 597,411,504/x
  3. Step 3: Cross multiply
    272,256,120x = 597,411,504 × 597,411,504
  4. Step 4: Simplify right side
    272,256,120x = 356,900,505,111,542,016
  5. Step 5: Solve for x
    x = 356,900,505,111,542,016/272,256,120
  6. Step 6: Final answer
    x = 1,310,899,843.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.