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Finding the Third Proportional to 333,203 and 725,566

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Solution

The third proportional to 333,203 and 725,566 is: 1,579,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,203 : 725,566 = 725,566 : x
  2. Step 2: Convert to fraction form
    333,203/725,566 = 725,566/x
  3. Step 3: Cross multiply
    333,203x = 725,566 × 725,566
  4. Step 4: Simplify right side
    333,203x = 526,446,020,356
  5. Step 5: Solve for x
    x = 526,446,020,356/333,203
  6. Step 6: Final answer
    x = 1,579,955.82

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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.