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Finding the Third Proportional to 408,273 and 533,674.50

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Solution

The third proportional to 408,273 and 533,674.50 is: 697,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,273 : 533,674.50 = 533,674.50 : x
  2. Step 2: Convert to fraction form
    408,273/533,674.50 = 533,674.50/x
  3. Step 3: Cross multiply
    408,273x = 533,674.50 × 533,674.50
  4. Step 4: Simplify right side
    408,273x = 284,808,471,950.25
  5. Step 5: Solve for x
    x = 284,808,471,950.25/408,273
  6. Step 6: Final answer
    x = 697,593.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.