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Finding the Third Proportional to 467,489.81 and 725,292.56

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Solution

The third proportional to 467,489.81 and 725,292.56 is: 1,125,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,489.81 : 725,292.56 = 725,292.56 : x
  2. Step 2: Convert to fraction form
    467,489.81/725,292.56 = 725,292.56/x
  3. Step 3: Cross multiply
    467,489.81x = 725,292.56 × 725,292.56
  4. Step 4: Simplify right side
    467,489.81x = 526,049,301,217.82
  5. Step 5: Solve for x
    x = 526,049,301,217.82/467,489.81
  6. Step 6: Final answer
    x = 1,125,263.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.