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Finding the Third Proportional to 343,156.50 and 524,940.75

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Solution

The third proportional to 343,156.50 and 524,940.75 is: 803,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,156.50 : 524,940.75 = 524,940.75 : x
  2. Step 2: Convert to fraction form
    343,156.50/524,940.75 = 524,940.75/x
  3. Step 3: Cross multiply
    343,156.50x = 524,940.75 × 524,940.75
  4. Step 4: Simplify right side
    343,156.50x = 275,562,791,010.56
  5. Step 5: Solve for x
    x = 275,562,791,010.56/343,156.50
  6. Step 6: Final answer
    x = 803,023.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.