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Finding the Third Proportional to 212,913 and 467,298

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Solution

The third proportional to 212,913 and 467,298 is: 1,025,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,913 : 467,298 = 467,298 : x
  2. Step 2: Convert to fraction form
    212,913/467,298 = 467,298/x
  3. Step 3: Cross multiply
    212,913x = 467,298 × 467,298
  4. Step 4: Simplify right side
    212,913x = 218,367,420,804
  5. Step 5: Solve for x
    x = 218,367,420,804/212,913
  6. Step 6: Final answer
    x = 1,025,618.07

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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.