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Finding the Third Proportional to 339,100.50 and 524,240.50

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Solution

The third proportional to 339,100.50 and 524,240.50 is: 810,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,100.50 : 524,240.50 = 524,240.50 : x
  2. Step 2: Convert to fraction form
    339,100.50/524,240.50 = 524,240.50/x
  3. Step 3: Cross multiply
    339,100.50x = 524,240.50 × 524,240.50
  4. Step 4: Simplify right side
    339,100.50x = 274,828,101,840.25
  5. Step 5: Solve for x
    x = 274,828,101,840.25/339,100.50
  6. Step 6: Final answer
    x = 810,462.10

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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.