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Finding the Third Proportional to 221,730 and 502,647

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Solution

The third proportional to 221,730 and 502,647 is: 1,139,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,730 : 502,647 = 502,647 : x
  2. Step 2: Convert to fraction form
    221,730/502,647 = 502,647/x
  3. Step 3: Cross multiply
    221,730x = 502,647 × 502,647
  4. Step 4: Simplify right side
    221,730x = 252,654,006,609
  5. Step 5: Solve for x
    x = 252,654,006,609/221,730
  6. Step 6: Final answer
    x = 1,139,466.95

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.