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Finding the Third Proportional to 262,351.41 and 354,430.69

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Solution

The third proportional to 262,351.41 and 354,430.69 is: 478,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,351.41 : 354,430.69 = 354,430.69 : x
  2. Step 2: Convert to fraction form
    262,351.41/354,430.69 = 354,430.69/x
  3. Step 3: Cross multiply
    262,351.41x = 354,430.69 × 354,430.69
  4. Step 4: Simplify right side
    262,351.41x = 125,621,112,241.72
  5. Step 5: Solve for x
    x = 125,621,112,241.72/262,351.41
  6. Step 6: Final answer
    x = 478,827.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.