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Finding the Third Proportional to 452,133.50 and 699,453

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Solution

The third proportional to 452,133.50 and 699,453 is: 1,082,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,133.50 : 699,453 = 699,453 : x
  2. Step 2: Convert to fraction form
    452,133.50/699,453 = 699,453/x
  3. Step 3: Cross multiply
    452,133.50x = 699,453 × 699,453
  4. Step 4: Simplify right side
    452,133.50x = 489,234,499,209
  5. Step 5: Solve for x
    x = 489,234,499,209/452,133.50
  6. Step 6: Final answer
    x = 1,082,057.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.