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Finding the Third Proportional to 281,492 and 620,584

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Solution

The third proportional to 281,492 and 620,584 is: 1,368,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,492 : 620,584 = 620,584 : x
  2. Step 2: Convert to fraction form
    281,492/620,584 = 620,584/x
  3. Step 3: Cross multiply
    281,492x = 620,584 × 620,584
  4. Step 4: Simplify right side
    281,492x = 385,124,501,056
  5. Step 5: Solve for x
    x = 385,124,501,056/281,492
  6. Step 6: Final answer
    x = 1,368,154.34

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