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Finding the Third Proportional to 336,616 and 725,720

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Solution

The third proportional to 336,616 and 725,720 is: 1,564,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,616 : 725,720 = 725,720 : x
  2. Step 2: Convert to fraction form
    336,616/725,720 = 725,720/x
  3. Step 3: Cross multiply
    336,616x = 725,720 × 725,720
  4. Step 4: Simplify right side
    336,616x = 526,669,518,400
  5. Step 5: Solve for x
    x = 526,669,518,400/336,616
  6. Step 6: Final answer
    x = 1,564,600.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.