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Finding the Third Proportional to 416,574 and 862,688

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Solution

The third proportional to 416,574 and 862,688 is: 1,786,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,574 : 862,688 = 862,688 : x
  2. Step 2: Convert to fraction form
    416,574/862,688 = 862,688/x
  3. Step 3: Cross multiply
    416,574x = 862,688 × 862,688
  4. Step 4: Simplify right side
    416,574x = 744,230,585,344
  5. Step 5: Solve for x
    x = 744,230,585,344/416,574
  6. Step 6: Final answer
    x = 1,786,550.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.