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Finding the Third Proportional to 339,858,097.50 and 524,800,348.50

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Solution

The third proportional to 339,858,097.50 and 524,800,348.50 is: 810,383,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,097.50 : 524,800,348.50 = 524,800,348.50 : x
  2. Step 2: Convert to fraction form
    339,858,097.50/524,800,348.50 = 524,800,348.50/x
  3. Step 3: Cross multiply
    339,858,097.50x = 524,800,348.50 × 524,800,348.50
  4. Step 4: Simplify right side
    339,858,097.50x = 275,415,405,785,721,440
  5. Step 5: Solve for x
    x = 275,415,405,785,721,440/339,858,097.50
  6. Step 6: Final answer
    x = 810,383,533.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.