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Finding the Third Proportional to 265,902.75 and 559,689.75

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Solution

The third proportional to 265,902.75 and 559,689.75 is: 1,178,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,902.75 : 559,689.75 = 559,689.75 : x
  2. Step 2: Convert to fraction form
    265,902.75/559,689.75 = 559,689.75/x
  3. Step 3: Cross multiply
    265,902.75x = 559,689.75 × 559,689.75
  4. Step 4: Simplify right side
    265,902.75x = 313,252,616,255.06
  5. Step 5: Solve for x
    x = 313,252,616,255.06/265,902.75
  6. Step 6: Final answer
    x = 1,178,072.12

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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.