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Finding the Third Proportional to 380,841,418.13 and 526,236,346.13

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Solution

The third proportional to 380,841,418.13 and 526,236,346.13 is: 727,139,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,841,418.13 : 526,236,346.13 = 526,236,346.13 : x
  2. Step 2: Convert to fraction form
    380,841,418.13/526,236,346.13 = 526,236,346.13/x
  3. Step 3: Cross multiply
    380,841,418.13x = 526,236,346.13 × 526,236,346.13
  4. Step 4: Simplify right side
    380,841,418.13x = 276,924,691,982,990,816
  5. Step 5: Solve for x
    x = 276,924,691,982,990,816/380,841,418.13
  6. Step 6: Final answer
    x = 727,139,115.66

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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.