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Finding the Third Proportional to 383,772 and 536,808

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Solution

The third proportional to 383,772 and 536,808 is: 750,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,772 : 536,808 = 536,808 : x
  2. Step 2: Convert to fraction form
    383,772/536,808 = 536,808/x
  3. Step 3: Cross multiply
    383,772x = 536,808 × 536,808
  4. Step 4: Simplify right side
    383,772x = 288,162,828,864
  5. Step 5: Solve for x
    x = 288,162,828,864/383,772
  6. Step 6: Final answer
    x = 750,869.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.