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Finding the Third Proportional to 343,428.75 and 504,852.75

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Solution

The third proportional to 343,428.75 and 504,852.75 is: 742,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,428.75 : 504,852.75 = 504,852.75 : x
  2. Step 2: Convert to fraction form
    343,428.75/504,852.75 = 504,852.75/x
  3. Step 3: Cross multiply
    343,428.75x = 504,852.75 × 504,852.75
  4. Step 4: Simplify right side
    343,428.75x = 254,876,299,182.56
  5. Step 5: Solve for x
    x = 254,876,299,182.56/343,428.75
  6. Step 6: Final answer
    x = 742,151.90

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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.