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Finding the Third Proportional to 216,226 and 464,423

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Solution

The third proportional to 216,226 and 464,423 is: 997,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,226 : 464,423 = 464,423 : x
  2. Step 2: Convert to fraction form
    216,226/464,423 = 464,423/x
  3. Step 3: Cross multiply
    216,226x = 464,423 × 464,423
  4. Step 4: Simplify right side
    216,226x = 215,688,722,929
  5. Step 5: Solve for x
    x = 215,688,722,929/216,226
  6. Step 6: Final answer
    x = 997,515.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.