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Finding the Third Proportional to 380,165.06 and 531,495

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Solution

The third proportional to 380,165.06 and 531,495 is: 743,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,165.06 : 531,495 = 531,495 : x
  2. Step 2: Convert to fraction form
    380,165.06/531,495 = 531,495/x
  3. Step 3: Cross multiply
    380,165.06x = 531,495 × 531,495
  4. Step 4: Simplify right side
    380,165.06x = 282,486,935,025
  5. Step 5: Solve for x
    x = 282,486,935,025/380,165.06
  6. Step 6: Final answer
    x = 743,063.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.