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Finding the Third Proportional to 360,564 and 522,254

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Solution

The third proportional to 360,564 and 522,254 is: 756,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,564 : 522,254 = 522,254 : x
  2. Step 2: Convert to fraction form
    360,564/522,254 = 522,254/x
  3. Step 3: Cross multiply
    360,564x = 522,254 × 522,254
  4. Step 4: Simplify right side
    360,564x = 272,749,240,516
  5. Step 5: Solve for x
    x = 272,749,240,516/360,564
  6. Step 6: Final answer
    x = 756,451.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.