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Finding the Third Proportional to 340,051.25 and 744,740.50

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Solution

The third proportional to 340,051.25 and 744,740.50 is: 1,631,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,051.25 : 744,740.50 = 744,740.50 : x
  2. Step 2: Convert to fraction form
    340,051.25/744,740.50 = 744,740.50/x
  3. Step 3: Cross multiply
    340,051.25x = 744,740.50 × 744,740.50
  4. Step 4: Simplify right side
    340,051.25x = 554,638,412,340.25
  5. Step 5: Solve for x
    x = 554,638,412,340.25/340,051.25
  6. Step 6: Final answer
    x = 1,631,043.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.