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Finding the Third Proportional to 221,913 and 485,298

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Solution

The third proportional to 221,913 and 485,298 is: 1,061,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,913 : 485,298 = 485,298 : x
  2. Step 2: Convert to fraction form
    221,913/485,298 = 485,298/x
  3. Step 3: Cross multiply
    221,913x = 485,298 × 485,298
  4. Step 4: Simplify right side
    221,913x = 235,514,148,804
  5. Step 5: Solve for x
    x = 235,514,148,804/221,913
  6. Step 6: Final answer
    x = 1,061,290.46

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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.