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Finding the Third Proportional to 333,902.25 and 742,556.25

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Solution

The third proportional to 333,902.25 and 742,556.25 is: 1,651,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,902.25 : 742,556.25 = 742,556.25 : x
  2. Step 2: Convert to fraction form
    333,902.25/742,556.25 = 742,556.25/x
  3. Step 3: Cross multiply
    333,902.25x = 742,556.25 × 742,556.25
  4. Step 4: Simplify right side
    333,902.25x = 551,389,784,414.06
  5. Step 5: Solve for x
    x = 551,389,784,414.06/333,902.25
  6. Step 6: Final answer
    x = 1,651,350.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.