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Finding the Third Proportional to 232,915.50 and 509,935.50

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Solution

The third proportional to 232,915.50 and 509,935.50 is: 1,116,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,915.50 : 509,935.50 = 509,935.50 : x
  2. Step 2: Convert to fraction form
    232,915.50/509,935.50 = 509,935.50/x
  3. Step 3: Cross multiply
    232,915.50x = 509,935.50 × 509,935.50
  4. Step 4: Simplify right side
    232,915.50x = 260,034,214,160.25
  5. Step 5: Solve for x
    x = 260,034,214,160.25/232,915.50
  6. Step 6: Final answer
    x = 1,116,431.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.