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Finding the Third Proportional to 339,101.50 and 524,242

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Solution

The third proportional to 339,101.50 and 524,242 is: 810,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,101.50 : 524,242 = 524,242 : x
  2. Step 2: Convert to fraction form
    339,101.50/524,242 = 524,242/x
  3. Step 3: Cross multiply
    339,101.50x = 524,242 × 524,242
  4. Step 4: Simplify right side
    339,101.50x = 274,829,674,564
  5. Step 5: Solve for x
    x = 274,829,674,564/339,101.50
  6. Step 6: Final answer
    x = 810,464.34

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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.