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Finding the Third Proportional to 489,233.14 and 746,503.49

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Solution

The third proportional to 489,233.14 and 746,503.49 is: 1,139,063.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,233.14 : 746,503.49 = 746,503.49 : x
  2. Step 2: Convert to fraction form
    489,233.14/746,503.49 = 746,503.49/x
  3. Step 3: Cross multiply
    489,233.14x = 746,503.49 × 746,503.49
  4. Step 4: Simplify right side
    489,233.14x = 557,267,458,016.07
  5. Step 5: Solve for x
    x = 557,267,458,016.07/489,233.14
  6. Step 6: Final answer
    x = 1,139,063.17

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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.