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Finding the Third Proportional to 368,361 and 568,813.50

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Solution

The third proportional to 368,361 and 568,813.50 is: 878,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,361 : 568,813.50 = 568,813.50 : x
  2. Step 2: Convert to fraction form
    368,361/568,813.50 = 568,813.50/x
  3. Step 3: Cross multiply
    368,361x = 568,813.50 × 568,813.50
  4. Step 4: Simplify right side
    368,361x = 323,548,797,782.25
  5. Step 5: Solve for x
    x = 323,548,797,782.25/368,361
  6. Step 6: Final answer
    x = 878,347.05

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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.