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Finding the Third Proportional to 361,856 and 756,724

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Solution

The third proportional to 361,856 and 756,724 is: 1,582,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,856 : 756,724 = 756,724 : x
  2. Step 2: Convert to fraction form
    361,856/756,724 = 756,724/x
  3. Step 3: Cross multiply
    361,856x = 756,724 × 756,724
  4. Step 4: Simplify right side
    361,856x = 572,631,212,176
  5. Step 5: Solve for x
    x = 572,631,212,176/361,856
  6. Step 6: Final answer
    x = 1,582,483.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.