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Finding the Third Proportional to 333,216 and 725,592

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Solution

The third proportional to 333,216 and 725,592 is: 1,580,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,216 : 725,592 = 725,592 : x
  2. Step 2: Convert to fraction form
    333,216/725,592 = 725,592/x
  3. Step 3: Cross multiply
    333,216x = 725,592 × 725,592
  4. Step 4: Simplify right side
    333,216x = 526,483,750,464
  5. Step 5: Solve for x
    x = 526,483,750,464/333,216
  6. Step 6: Final answer
    x = 1,580,007.41

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Why These Related Problems?

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