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Finding the Third Proportional to 282,996 and 384,534

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Solution

The third proportional to 282,996 and 384,534 is: 522,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,996 : 384,534 = 384,534 : x
  2. Step 2: Convert to fraction form
    282,996/384,534 = 384,534/x
  3. Step 3: Cross multiply
    282,996x = 384,534 × 384,534
  4. Step 4: Simplify right side
    282,996x = 147,866,397,156
  5. Step 5: Solve for x
    x = 147,866,397,156/282,996
  6. Step 6: Final answer
    x = 522,503.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.