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Finding the Third Proportional to 282,624 and 620,544

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Solution

The third proportional to 282,624 and 620,544 is: 1,362,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,624 : 620,544 = 620,544 : x
  2. Step 2: Convert to fraction form
    282,624/620,544 = 620,544/x
  3. Step 3: Cross multiply
    282,624x = 620,544 × 620,544
  4. Step 4: Simplify right side
    282,624x = 385,074,855,936
  5. Step 5: Solve for x
    x = 385,074,855,936/282,624
  6. Step 6: Final answer
    x = 1,362,498.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.