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Finding the Third Proportional to 340,367.06 and 725,446.13

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Solution

The third proportional to 340,367.06 and 725,446.13 is: 1,546,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,367.06 : 725,446.13 = 725,446.13 : x
  2. Step 2: Convert to fraction form
    340,367.06/725,446.13 = 725,446.13/x
  3. Step 3: Cross multiply
    340,367.06x = 725,446.13 × 725,446.13
  4. Step 4: Simplify right side
    340,367.06x = 526,272,080,277.52
  5. Step 5: Solve for x
    x = 526,272,080,277.52/340,367.06
  6. Step 6: Final answer
    x = 1,546,189.80

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.