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Finding the Third Proportional to 295,192 and 442,842

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Solution

The third proportional to 295,192 and 442,842 is: 664,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,192 : 442,842 = 442,842 : x
  2. Step 2: Convert to fraction form
    295,192/442,842 = 442,842/x
  3. Step 3: Cross multiply
    295,192x = 442,842 × 442,842
  4. Step 4: Simplify right side
    295,192x = 196,109,036,964
  5. Step 5: Solve for x
    x = 196,109,036,964/295,192
  6. Step 6: Final answer
    x = 664,344.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.