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Finding the Third Proportional to 333,908 and 742,462

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Solution

The third proportional to 333,908 and 742,462 is: 1,650,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,908 : 742,462 = 742,462 : x
  2. Step 2: Convert to fraction form
    333,908/742,462 = 742,462/x
  3. Step 3: Cross multiply
    333,908x = 742,462 × 742,462
  4. Step 4: Simplify right side
    333,908x = 551,249,821,444
  5. Step 5: Solve for x
    x = 551,249,821,444/333,908
  6. Step 6: Final answer
    x = 1,650,903.31

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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.