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Finding the Third Proportional to 336,618 and 725,724

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Solution

The third proportional to 336,618 and 725,724 is: 1,564,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,618 : 725,724 = 725,724 : x
  2. Step 2: Convert to fraction form
    336,618/725,724 = 725,724/x
  3. Step 3: Cross multiply
    336,618x = 725,724 × 725,724
  4. Step 4: Simplify right side
    336,618x = 526,675,324,176
  5. Step 5: Solve for x
    x = 526,675,324,176/336,618
  6. Step 6: Final answer
    x = 1,564,608.32

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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.