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Finding the Third Proportional to 344,546,272.69 and 529,592,311.69

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Solution

The third proportional to 344,546,272.69 and 529,592,311.69 is: 814,021,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,546,272.69 : 529,592,311.69 = 529,592,311.69 : x
  2. Step 2: Convert to fraction form
    344,546,272.69/529,592,311.69 = 529,592,311.69/x
  3. Step 3: Cross multiply
    344,546,272.69x = 529,592,311.69 × 529,592,311.69
  4. Step 4: Simplify right side
    344,546,272.69x = 280,468,016,598,510,144
  5. Step 5: Solve for x
    x = 280,468,016,598,510,144/344,546,272.69
  6. Step 6: Final answer
    x = 814,021,334.23

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