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Finding the Third Proportional to 366,585.75 and 766,689.47

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Solution

The third proportional to 366,585.75 and 766,689.47 is: 1,603,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,585.75 : 766,689.47 = 766,689.47 : x
  2. Step 2: Convert to fraction form
    366,585.75/766,689.47 = 766,689.47/x
  3. Step 3: Cross multiply
    366,585.75x = 766,689.47 × 766,689.47
  4. Step 4: Simplify right side
    366,585.75x = 587,812,741,492.16
  5. Step 5: Solve for x
    x = 587,812,741,492.16/366,585.75
  6. Step 6: Final answer
    x = 1,603,479.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.