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Finding the Third Proportional to 282,374 and 620,043

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Solution

The third proportional to 282,374 and 620,043 is: 1,361,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,374 : 620,043 = 620,043 : x
  2. Step 2: Convert to fraction form
    282,374/620,043 = 620,043/x
  3. Step 3: Cross multiply
    282,374x = 620,043 × 620,043
  4. Step 4: Simplify right side
    282,374x = 384,453,321,849
  5. Step 5: Solve for x
    x = 384,453,321,849/282,374
  6. Step 6: Final answer
    x = 1,361,503.97

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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.