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Finding the Third Proportional to 333,214 and 725,588

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Solution

The third proportional to 333,214 and 725,588 is: 1,579,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,214 : 725,588 = 725,588 : x
  2. Step 2: Convert to fraction form
    333,214/725,588 = 725,588/x
  3. Step 3: Cross multiply
    333,214x = 725,588 × 725,588
  4. Step 4: Simplify right side
    333,214x = 526,477,945,744
  5. Step 5: Solve for x
    x = 526,477,945,744/333,214
  6. Step 6: Final answer
    x = 1,579,999.48

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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.