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Finding the Third Proportional to 265,456,732.50 and 415,512,288.75

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Solution

The third proportional to 265,456,732.50 and 415,512,288.75 is: 650,390,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,456,732.50 : 415,512,288.75 = 415,512,288.75 : x
  2. Step 2: Convert to fraction form
    265,456,732.50/415,512,288.75 = 415,512,288.75/x
  3. Step 3: Cross multiply
    265,456,732.50x = 415,512,288.75 × 415,512,288.75
  4. Step 4: Simplify right side
    265,456,732.50x = 172,650,462,102,263,392
  5. Step 5: Solve for x
    x = 172,650,462,102,263,392/265,456,732.50
  6. Step 6: Final answer
    x = 650,390,217.93

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Why These Related Problems?

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