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Finding the Third Proportional to 328,348.50 and 696,235.50

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Solution

The third proportional to 328,348.50 and 696,235.50 is: 1,476,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,348.50 : 696,235.50 = 696,235.50 : x
  2. Step 2: Convert to fraction form
    328,348.50/696,235.50 = 696,235.50/x
  3. Step 3: Cross multiply
    328,348.50x = 696,235.50 × 696,235.50
  4. Step 4: Simplify right side
    328,348.50x = 484,743,871,460.25
  5. Step 5: Solve for x
    x = 484,743,871,460.25/328,348.50
  6. Step 6: Final answer
    x = 1,476,309.08

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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.