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Finding the Third Proportional to 263,386.69 and 559,573.31

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Solution

The third proportional to 263,386.69 and 559,573.31 is: 1,188,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,386.69 : 559,573.31 = 559,573.31 : x
  2. Step 2: Convert to fraction form
    263,386.69/559,573.31 = 559,573.31/x
  3. Step 3: Cross multiply
    263,386.69x = 559,573.31 × 559,573.31
  4. Step 4: Simplify right side
    263,386.69x = 313,122,292,062.22
  5. Step 5: Solve for x
    x = 313,122,292,062.22/263,386.69
  6. Step 6: Final answer
    x = 1,188,831.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.