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Finding the Third Proportional to 410,529 and 653,736

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Solution

The third proportional to 410,529 and 653,736 is: 1,041,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,529 : 653,736 = 653,736 : x
  2. Step 2: Convert to fraction form
    410,529/653,736 = 653,736/x
  3. Step 3: Cross multiply
    410,529x = 653,736 × 653,736
  4. Step 4: Simplify right side
    410,529x = 427,370,757,696
  5. Step 5: Solve for x
    x = 427,370,757,696/410,529
  6. Step 6: Final answer
    x = 1,041,024.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.