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Finding the Third Proportional to 333,948 and 742,636

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Solution

The third proportional to 333,948 and 742,636 is: 1,651,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,948 : 742,636 = 742,636 : x
  2. Step 2: Convert to fraction form
    333,948/742,636 = 742,636/x
  3. Step 3: Cross multiply
    333,948x = 742,636 × 742,636
  4. Step 4: Simplify right side
    333,948x = 551,508,228,496
  5. Step 5: Solve for x
    x = 551,508,228,496/333,948
  6. Step 6: Final answer
    x = 1,651,479.36

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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.