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Finding the Third Proportional to 489,532.69 and 748,369.41

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Solution

The third proportional to 489,532.69 and 748,369.41 is: 1,144,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,532.69 : 748,369.41 = 748,369.41 : x
  2. Step 2: Convert to fraction form
    489,532.69/748,369.41 = 748,369.41/x
  3. Step 3: Cross multiply
    489,532.69x = 748,369.41 × 748,369.41
  4. Step 4: Simplify right side
    489,532.69x = 560,056,768,210.98
  5. Step 5: Solve for x
    x = 560,056,768,210.98/489,532.69
  6. Step 6: Final answer
    x = 1,144,064.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.