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Finding the Third Proportional to 412,497 and 656,370

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Solution

The third proportional to 412,497 and 656,370 is: 1,044,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,497 : 656,370 = 656,370 : x
  2. Step 2: Convert to fraction form
    412,497/656,370 = 656,370/x
  3. Step 3: Cross multiply
    412,497x = 656,370 × 656,370
  4. Step 4: Simplify right side
    412,497x = 430,821,576,900
  5. Step 5: Solve for x
    x = 430,821,576,900/412,497
  6. Step 6: Final answer
    x = 1,044,423.54

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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.