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Finding the Third Proportional to 380,002.50 and 534,465

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Solution

The third proportional to 380,002.50 and 534,465 is: 751,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,002.50 : 534,465 = 534,465 : x
  2. Step 2: Convert to fraction form
    380,002.50/534,465 = 534,465/x
  3. Step 3: Cross multiply
    380,002.50x = 534,465 × 534,465
  4. Step 4: Simplify right side
    380,002.50x = 285,652,836,225
  5. Step 5: Solve for x
    x = 285,652,836,225/380,002.50
  6. Step 6: Final answer
    x = 751,713.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.