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Finding the Third Proportional to 228,030 and 527,837

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Solution

The third proportional to 228,030 and 527,837 is: 1,221,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,030 : 527,837 = 527,837 : x
  2. Step 2: Convert to fraction form
    228,030/527,837 = 527,837/x
  3. Step 3: Cross multiply
    228,030x = 527,837 × 527,837
  4. Step 4: Simplify right side
    228,030x = 278,611,898,569
  5. Step 5: Solve for x
    x = 278,611,898,569/228,030
  6. Step 6: Final answer
    x = 1,221,821.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.