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Finding the Third Proportional to 333,213 and 725,586

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Solution

The third proportional to 333,213 and 725,586 is: 1,579,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,213 : 725,586 = 725,586 : x
  2. Step 2: Convert to fraction form
    333,213/725,586 = 725,586/x
  3. Step 3: Cross multiply
    333,213x = 725,586 × 725,586
  4. Step 4: Simplify right side
    333,213x = 526,475,043,396
  5. Step 5: Solve for x
    x = 526,475,043,396/333,213
  6. Step 6: Final answer
    x = 1,579,995.51

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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.