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Finding the Third Proportional to 265,456,731 and 415,512,286.50

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Solution

The third proportional to 265,456,731 and 415,512,286.50 is: 650,390,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,456,731 : 415,512,286.50 = 415,512,286.50 : x
  2. Step 2: Convert to fraction form
    265,456,731/415,512,286.50 = 415,512,286.50/x
  3. Step 3: Cross multiply
    265,456,731x = 415,512,286.50 × 415,512,286.50
  4. Step 4: Simplify right side
    265,456,731x = 172,650,460,232,458,080
  5. Step 5: Solve for x
    x = 172,650,460,232,458,080/265,456,731
  6. Step 6: Final answer
    x = 650,390,214.56

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.