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Finding the Third Proportional to 591,743.50 and 1,294,203

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Solution

The third proportional to 591,743.50 and 1,294,203 is: 2,830,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,743.50 : 1,294,203 = 1,294,203 : x
  2. Step 2: Convert to fraction form
    591,743.50/1,294,203 = 1,294,203/x
  3. Step 3: Cross multiply
    591,743.50x = 1,294,203 × 1,294,203
  4. Step 4: Simplify right side
    591,743.50x = 1,674,961,405,209
  5. Step 5: Solve for x
    x = 1,674,961,405,209/591,743.50
  6. Step 6: Final answer
    x = 2,830,553.11

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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.