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Finding the Third Proportional to 339,000.19 and 524,905.31

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Solution

The third proportional to 339,000.19 and 524,905.31 is: 812,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,000.19 : 524,905.31 = 524,905.31 : x
  2. Step 2: Convert to fraction form
    339,000.19/524,905.31 = 524,905.31/x
  3. Step 3: Cross multiply
    339,000.19x = 524,905.31 × 524,905.31
  4. Step 4: Simplify right side
    339,000.19x = 275,525,587,090.72
  5. Step 5: Solve for x
    x = 275,525,587,090.72/339,000.19
  6. Step 6: Final answer
    x = 812,759.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.