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Finding the Third Proportional to 273,708 and 409,461

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Solution

The third proportional to 273,708 and 409,461 is: 612,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,708 : 409,461 = 409,461 : x
  2. Step 2: Convert to fraction form
    273,708/409,461 = 409,461/x
  3. Step 3: Cross multiply
    273,708x = 409,461 × 409,461
  4. Step 4: Simplify right side
    273,708x = 167,658,310,521
  5. Step 5: Solve for x
    x = 167,658,310,521/273,708
  6. Step 6: Final answer
    x = 612,544.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.