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Finding the Third Proportional to 183,482 and 383,609

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Solution

The third proportional to 183,482 and 383,609 is: 802,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,482 : 383,609 = 383,609 : x
  2. Step 2: Convert to fraction form
    183,482/383,609 = 383,609/x
  3. Step 3: Cross multiply
    183,482x = 383,609 × 383,609
  4. Step 4: Simplify right side
    183,482x = 147,155,864,881
  5. Step 5: Solve for x
    x = 147,155,864,881/183,482
  6. Step 6: Final answer
    x = 802,017.99

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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.