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Finding the Third Proportional to 309,657.38 and 436,068.56

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Solution

The third proportional to 309,657.38 and 436,068.56 is: 614,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,657.38 : 436,068.56 = 436,068.56 : x
  2. Step 2: Convert to fraction form
    309,657.38/436,068.56 = 436,068.56/x
  3. Step 3: Cross multiply
    309,657.38x = 436,068.56 × 436,068.56
  4. Step 4: Simplify right side
    309,657.38x = 190,155,791,200.82
  5. Step 5: Solve for x
    x = 190,155,791,200.82/309,657.38
  6. Step 6: Final answer
    x = 614,084.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.