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Finding the Third Proportional to 433,516.50 and 575,376.75

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Solution

The third proportional to 433,516.50 and 575,376.75 is: 763,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,516.50 : 575,376.75 = 575,376.75 : x
  2. Step 2: Convert to fraction form
    433,516.50/575,376.75 = 575,376.75/x
  3. Step 3: Cross multiply
    433,516.50x = 575,376.75 × 575,376.75
  4. Step 4: Simplify right side
    433,516.50x = 331,058,404,440.56
  5. Step 5: Solve for x
    x = 331,058,404,440.56/433,516.50
  6. Step 6: Final answer
    x = 763,658.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.