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Finding the Third Proportional to 366,814 and 803,612

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Solution

The third proportional to 366,814 and 803,612 is: 1,760,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,814 : 803,612 = 803,612 : x
  2. Step 2: Convert to fraction form
    366,814/803,612 = 803,612/x
  3. Step 3: Cross multiply
    366,814x = 803,612 × 803,612
  4. Step 4: Simplify right side
    366,814x = 645,792,246,544
  5. Step 5: Solve for x
    x = 645,792,246,544/366,814
  6. Step 6: Final answer
    x = 1,760,544.16

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Why These Related Problems?

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