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Finding the Third Proportional to 216,569 and 524,811

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Solution

The third proportional to 216,569 and 524,811 is: 1,271,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,569 : 524,811 = 524,811 : x
  2. Step 2: Convert to fraction form
    216,569/524,811 = 524,811/x
  3. Step 3: Cross multiply
    216,569x = 524,811 × 524,811
  4. Step 4: Simplify right side
    216,569x = 275,426,585,721
  5. Step 5: Solve for x
    x = 275,426,585,721/216,569
  6. Step 6: Final answer
    x = 1,271,772.90

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.