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Finding the Third Proportional to 380,841,274 and 526,236,124

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Solution

The third proportional to 380,841,274 and 526,236,124 is: 727,138,776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,841,274 : 526,236,124 = 526,236,124 : x
  2. Step 2: Convert to fraction form
    380,841,274/526,236,124 = 526,236,124/x
  3. Step 3: Cross multiply
    380,841,274x = 526,236,124 × 526,236,124
  4. Step 4: Simplify right side
    380,841,274x = 276,924,458,202,543,360
  5. Step 5: Solve for x
    x = 276,924,458,202,543,360/380,841,274
  6. Step 6: Final answer
    x = 727,138,776.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.