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Finding the Third Proportional to 433,438 and 575,126

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Solution

The third proportional to 433,438 and 575,126 is: 763,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,438 : 575,126 = 575,126 : x
  2. Step 2: Convert to fraction form
    433,438/575,126 = 575,126/x
  3. Step 3: Cross multiply
    433,438x = 575,126 × 575,126
  4. Step 4: Simplify right side
    433,438x = 330,769,915,876
  5. Step 5: Solve for x
    x = 330,769,915,876/433,438
  6. Step 6: Final answer
    x = 763,130.87

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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.