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Finding the Third Proportional to 221,704 and 536,724

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Solution

The third proportional to 221,704 and 536,724 is: 1,299,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,704 : 536,724 = 536,724 : x
  2. Step 2: Convert to fraction form
    221,704/536,724 = 536,724/x
  3. Step 3: Cross multiply
    221,704x = 536,724 × 536,724
  4. Step 4: Simplify right side
    221,704x = 288,072,652,176
  5. Step 5: Solve for x
    x = 288,072,652,176/221,704
  6. Step 6: Final answer
    x = 1,299,357.04

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.