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Finding the Third Proportional to 333,804 and 742,242

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Solution

The third proportional to 333,804 and 742,242 is: 1,650,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,804 : 742,242 = 742,242 : x
  2. Step 2: Convert to fraction form
    333,804/742,242 = 742,242/x
  3. Step 3: Cross multiply
    333,804x = 742,242 × 742,242
  4. Step 4: Simplify right side
    333,804x = 550,923,186,564
  5. Step 5: Solve for x
    x = 550,923,186,564/333,804
  6. Step 6: Final answer
    x = 1,650,439.14

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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.