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Finding the Third Proportional to 352,997,284 and 544,383,078

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Solution

The third proportional to 352,997,284 and 544,383,078 is: 839,533,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,997,284 : 544,383,078 = 544,383,078 : x
  2. Step 2: Convert to fraction form
    352,997,284/544,383,078 = 544,383,078/x
  3. Step 3: Cross multiply
    352,997,284x = 544,383,078 × 544,383,078
  4. Step 4: Simplify right side
    352,997,284x = 296,352,935,612,754,112
  5. Step 5: Solve for x
    x = 296,352,935,612,754,112/352,997,284
  6. Step 6: Final answer
    x = 839,533,189.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.