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Finding the Third Proportional to 336,616.50 and 725,721

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Solution

The third proportional to 336,616.50 and 725,721 is: 1,564,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,616.50 : 725,721 = 725,721 : x
  2. Step 2: Convert to fraction form
    336,616.50/725,721 = 725,721/x
  3. Step 3: Cross multiply
    336,616.50x = 725,721 × 725,721
  4. Step 4: Simplify right side
    336,616.50x = 526,670,969,841
  5. Step 5: Solve for x
    x = 526,670,969,841/336,616.50
  6. Step 6: Final answer
    x = 1,564,602.36

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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.