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Finding the Third Proportional to 227,958 and 527,724

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Solution

The third proportional to 227,958 and 527,724 is: 1,221,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,958 : 527,724 = 527,724 : x
  2. Step 2: Convert to fraction form
    227,958/527,724 = 527,724/x
  3. Step 3: Cross multiply
    227,958x = 527,724 × 527,724
  4. Step 4: Simplify right side
    227,958x = 278,492,620,176
  5. Step 5: Solve for x
    x = 278,492,620,176/227,958
  6. Step 6: Final answer
    x = 1,221,683.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.