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Finding the Third Proportional to 333,200 and 725,560

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Solution

The third proportional to 333,200 and 725,560 is: 1,579,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,200 : 725,560 = 725,560 : x
  2. Step 2: Convert to fraction form
    333,200/725,560 = 725,560/x
  3. Step 3: Cross multiply
    333,200x = 725,560 × 725,560
  4. Step 4: Simplify right side
    333,200x = 526,437,313,600
  5. Step 5: Solve for x
    x = 526,437,313,600/333,200
  6. Step 6: Final answer
    x = 1,579,943.92

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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.