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Finding the Third Proportional to 216,756 and 465,770.25

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Solution

The third proportional to 216,756 and 465,770.25 is: 1,000,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,756 : 465,770.25 = 465,770.25 : x
  2. Step 2: Convert to fraction form
    216,756/465,770.25 = 465,770.25/x
  3. Step 3: Cross multiply
    216,756x = 465,770.25 × 465,770.25
  4. Step 4: Simplify right side
    216,756x = 216,941,925,785.06
  5. Step 5: Solve for x
    x = 216,941,925,785.06/216,756
  6. Step 6: Final answer
    x = 1,000,857.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.