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Finding the Third Proportional to 366,705 and 812,142

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Solution

The third proportional to 366,705 and 812,142 is: 1,798,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,705 : 812,142 = 812,142 : x
  2. Step 2: Convert to fraction form
    366,705/812,142 = 812,142/x
  3. Step 3: Cross multiply
    366,705x = 812,142 × 812,142
  4. Step 4: Simplify right side
    366,705x = 659,574,628,164
  5. Step 5: Solve for x
    x = 659,574,628,164/366,705
  6. Step 6: Final answer
    x = 1,798,651.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.