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Finding the Third Proportional to 512,511.75 and 1,088,088.75

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Solution

The third proportional to 512,511.75 and 1,088,088.75 is: 2,310,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,511.75 : 1,088,088.75 = 1,088,088.75 : x
  2. Step 2: Convert to fraction form
    512,511.75/1,088,088.75 = 1,088,088.75/x
  3. Step 3: Cross multiply
    512,511.75x = 1,088,088.75 × 1,088,088.75
  4. Step 4: Simplify right side
    512,511.75x = 1,183,937,127,876.56
  5. Step 5: Solve for x
    x = 1,183,937,127,876.56/512,511.75
  6. Step 6: Final answer
    x = 2,310,068.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.