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Finding the Third Proportional to 343,423.75 and 504,845.25

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Solution

The third proportional to 343,423.75 and 504,845.25 is: 742,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,423.75 : 504,845.25 = 504,845.25 : x
  2. Step 2: Convert to fraction form
    343,423.75/504,845.25 = 504,845.25/x
  3. Step 3: Cross multiply
    343,423.75x = 504,845.25 × 504,845.25
  4. Step 4: Simplify right side
    343,423.75x = 254,868,726,447.56
  5. Step 5: Solve for x
    x = 254,868,726,447.56/343,423.75
  6. Step 6: Final answer
    x = 742,140.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.