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Finding the Third Proportional to 336,622 and 725,732

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Solution

The third proportional to 336,622 and 725,732 is: 1,564,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,622 : 725,732 = 725,732 : x
  2. Step 2: Convert to fraction form
    336,622/725,732 = 725,732/x
  3. Step 3: Cross multiply
    336,622x = 725,732 × 725,732
  4. Step 4: Simplify right side
    336,622x = 526,686,935,824
  5. Step 5: Solve for x
    x = 526,686,935,824/336,622
  6. Step 6: Final answer
    x = 1,564,624.22

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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.