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Finding the Third Proportional to 344,729.25 and 731,740.50

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Solution

The third proportional to 344,729.25 and 731,740.50 is: 1,553,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,729.25 : 731,740.50 = 731,740.50 : x
  2. Step 2: Convert to fraction form
    344,729.25/731,740.50 = 731,740.50/x
  3. Step 3: Cross multiply
    344,729.25x = 731,740.50 × 731,740.50
  4. Step 4: Simplify right side
    344,729.25x = 535,444,159,340.25
  5. Step 5: Solve for x
    x = 535,444,159,340.25/344,729.25
  6. Step 6: Final answer
    x = 1,553,231.00

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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.