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Finding the Third Proportional to 340,085.25 and 742,338

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Solution

The third proportional to 340,085.25 and 742,338 is: 1,620,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,085.25 : 742,338 = 742,338 : x
  2. Step 2: Convert to fraction form
    340,085.25/742,338 = 742,338/x
  3. Step 3: Cross multiply
    340,085.25x = 742,338 × 742,338
  4. Step 4: Simplify right side
    340,085.25x = 551,065,706,244
  5. Step 5: Solve for x
    x = 551,065,706,244/340,085.25
  6. Step 6: Final answer
    x = 1,620,375.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.