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Finding the Third Proportional to 341,264 and 531,224

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Solution

The third proportional to 341,264 and 531,224 is: 826,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,264 : 531,224 = 531,224 : x
  2. Step 2: Convert to fraction form
    341,264/531,224 = 531,224/x
  3. Step 3: Cross multiply
    341,264x = 531,224 × 531,224
  4. Step 4: Simplify right side
    341,264x = 282,198,938,176
  5. Step 5: Solve for x
    x = 282,198,938,176/341,264
  6. Step 6: Final answer
    x = 826,922.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.