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Finding the Third Proportional to 235,962 and 509,490

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Solution

The third proportional to 235,962 and 509,490 is: 1,100,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,962 : 509,490 = 509,490 : x
  2. Step 2: Convert to fraction form
    235,962/509,490 = 509,490/x
  3. Step 3: Cross multiply
    235,962x = 509,490 × 509,490
  4. Step 4: Simplify right side
    235,962x = 259,580,060,100
  5. Step 5: Solve for x
    x = 259,580,060,100/235,962
  6. Step 6: Final answer
    x = 1,100,092.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.