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Finding the Third Proportional to 308,454 and 420,215

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Solution

The third proportional to 308,454 and 420,215 is: 572,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,454 : 420,215 = 420,215 : x
  2. Step 2: Convert to fraction form
    308,454/420,215 = 420,215/x
  3. Step 3: Cross multiply
    308,454x = 420,215 × 420,215
  4. Step 4: Simplify right side
    308,454x = 176,580,646,225
  5. Step 5: Solve for x
    x = 176,580,646,225/308,454
  6. Step 6: Final answer
    x = 572,469.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.