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Finding the Third Proportional to 229,966 and 502,682

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Solution

The third proportional to 229,966 and 502,682 is: 1,098,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,966 : 502,682 = 502,682 : x
  2. Step 2: Convert to fraction form
    229,966/502,682 = 502,682/x
  3. Step 3: Cross multiply
    229,966x = 502,682 × 502,682
  4. Step 4: Simplify right side
    229,966x = 252,689,193,124
  5. Step 5: Solve for x
    x = 252,689,193,124/229,966
  6. Step 6: Final answer
    x = 1,098,811.10

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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.