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Finding the Third Proportional to 211,935 and 465,702

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Solution

The third proportional to 211,935 and 465,702 is: 1,023,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,935 : 465,702 = 465,702 : x
  2. Step 2: Convert to fraction form
    211,935/465,702 = 465,702/x
  3. Step 3: Cross multiply
    211,935x = 465,702 × 465,702
  4. Step 4: Simplify right side
    211,935x = 216,878,352,804
  5. Step 5: Solve for x
    x = 216,878,352,804/211,935
  6. Step 6: Final answer
    x = 1,023,324.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.