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Finding the Third Proportional to 441,549 and 699,529.50

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Solution

The third proportional to 441,549 and 699,529.50 is: 1,108,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,549 : 699,529.50 = 699,529.50 : x
  2. Step 2: Convert to fraction form
    441,549/699,529.50 = 699,529.50/x
  3. Step 3: Cross multiply
    441,549x = 699,529.50 × 699,529.50
  4. Step 4: Simplify right side
    441,549x = 489,341,521,370.25
  5. Step 5: Solve for x
    x = 489,341,521,370.25/441,549
  6. Step 6: Final answer
    x = 1,108,238.32

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