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Finding the Third Proportional to 213,268 and 466,712

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Solution

The third proportional to 213,268 and 466,712 is: 1,021,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,268 : 466,712 = 466,712 : x
  2. Step 2: Convert to fraction form
    213,268/466,712 = 466,712/x
  3. Step 3: Cross multiply
    213,268x = 466,712 × 466,712
  4. Step 4: Simplify right side
    213,268x = 217,820,090,944
  5. Step 5: Solve for x
    x = 217,820,090,944/213,268
  6. Step 6: Final answer
    x = 1,021,344.46

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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.