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Finding the Third Proportional to 328,460.06 and 697,789.69

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Solution

The third proportional to 328,460.06 and 697,789.69 is: 1,482,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,460.06 : 697,789.69 = 697,789.69 : x
  2. Step 2: Convert to fraction form
    328,460.06/697,789.69 = 697,789.69/x
  3. Step 3: Cross multiply
    328,460.06x = 697,789.69 × 697,789.69
  4. Step 4: Simplify right side
    328,460.06x = 486,910,447,981.35
  5. Step 5: Solve for x
    x = 486,910,447,981.35/328,460.06
  6. Step 6: Final answer
    x = 1,482,403.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.