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Finding the Third Proportional to 351,138.38 and 531,805.50

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Solution

The third proportional to 351,138.38 and 531,805.50 is: 805,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,138.38 : 531,805.50 = 531,805.50 : x
  2. Step 2: Convert to fraction form
    351,138.38/531,805.50 = 531,805.50/x
  3. Step 3: Cross multiply
    351,138.38x = 531,805.50 × 531,805.50
  4. Step 4: Simplify right side
    351,138.38x = 282,817,089,830.25
  5. Step 5: Solve for x
    x = 282,817,089,830.25/351,138.38
  6. Step 6: Final answer
    x = 805,429.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.