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Finding the Third Proportional to 352,997,390 and 544,383,234

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Solution

The third proportional to 352,997,390 and 544,383,234 is: 839,533,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,997,390 : 544,383,234 = 544,383,234 : x
  2. Step 2: Convert to fraction form
    352,997,390/544,383,234 = 544,383,234/x
  3. Step 3: Cross multiply
    352,997,390x = 544,383,234 × 544,383,234
  4. Step 4: Simplify right side
    352,997,390x = 296,353,105,460,298,752
  5. Step 5: Solve for x
    x = 296,353,105,460,298,752/352,997,390
  6. Step 6: Final answer
    x = 839,533,418.25

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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.