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Finding the Third Proportional to 273,822 and 420,705

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Solution

The third proportional to 273,822 and 420,705 is: 646,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,822 : 420,705 = 420,705 : x
  2. Step 2: Convert to fraction form
    273,822/420,705 = 420,705/x
  3. Step 3: Cross multiply
    273,822x = 420,705 × 420,705
  4. Step 4: Simplify right side
    273,822x = 176,992,697,025
  5. Step 5: Solve for x
    x = 176,992,697,025/273,822
  6. Step 6: Final answer
    x = 646,378.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.