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Finding the Third Proportional to 195,783 and 414,730

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Solution

The third proportional to 195,783 and 414,730 is: 878,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,783 : 414,730 = 414,730 : x
  2. Step 2: Convert to fraction form
    195,783/414,730 = 414,730/x
  3. Step 3: Cross multiply
    195,783x = 414,730 × 414,730
  4. Step 4: Simplify right side
    195,783x = 172,000,972,900
  5. Step 5: Solve for x
    x = 172,000,972,900/195,783
  6. Step 6: Final answer
    x = 878,528.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.