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Finding the Third Proportional to 380,841,276 and 526,236,127

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Solution

The third proportional to 380,841,276 and 526,236,127 is: 727,138,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,841,276 : 526,236,127 = 526,236,127 : x
  2. Step 2: Convert to fraction form
    380,841,276/526,236,127 = 526,236,127/x
  3. Step 3: Cross multiply
    380,841,276x = 526,236,127 × 526,236,127
  4. Step 4: Simplify right side
    380,841,276x = 276,924,461,359,960,128
  5. Step 5: Solve for x
    x = 276,924,461,359,960,128/380,841,276
  6. Step 6: Final answer
    x = 727,138,781.46

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Why These Related Problems?

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