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Finding the Third Proportional to 441,426 and 699,453

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Solution

The third proportional to 441,426 and 699,453 is: 1,108,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,426 : 699,453 = 699,453 : x
  2. Step 2: Convert to fraction form
    441,426/699,453 = 699,453/x
  3. Step 3: Cross multiply
    441,426x = 699,453 × 699,453
  4. Step 4: Simplify right side
    441,426x = 489,234,499,209
  5. Step 5: Solve for x
    x = 489,234,499,209/441,426
  6. Step 6: Final answer
    x = 1,108,304.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.