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Finding the Third Proportional to 242,435 and 509,994

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Solution

The third proportional to 242,435 and 509,994 is: 1,072,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,435 : 509,994 = 509,994 : x
  2. Step 2: Convert to fraction form
    242,435/509,994 = 509,994/x
  3. Step 3: Cross multiply
    242,435x = 509,994 × 509,994
  4. Step 4: Simplify right side
    242,435x = 260,093,880,036
  5. Step 5: Solve for x
    x = 260,093,880,036/242,435
  6. Step 6: Final answer
    x = 1,072,839.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.