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Finding the Third Proportional to 255,559.50 and 560,326.50

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Solution

The third proportional to 255,559.50 and 560,326.50 is: 1,228,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,559.50 : 560,326.50 = 560,326.50 : x
  2. Step 2: Convert to fraction form
    255,559.50/560,326.50 = 560,326.50/x
  3. Step 3: Cross multiply
    255,559.50x = 560,326.50 × 560,326.50
  4. Step 4: Simplify right side
    255,559.50x = 313,965,786,602.25
  5. Step 5: Solve for x
    x = 313,965,786,602.25/255,559.50
  6. Step 6: Final answer
    x = 1,228,542.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.