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Finding the Third Proportional to 295,242 and 442,788

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Solution

The third proportional to 295,242 and 442,788 is: 664,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,242 : 442,788 = 442,788 : x
  2. Step 2: Convert to fraction form
    295,242/442,788 = 442,788/x
  3. Step 3: Cross multiply
    295,242x = 442,788 × 442,788
  4. Step 4: Simplify right side
    295,242x = 196,061,212,944
  5. Step 5: Solve for x
    x = 196,061,212,944/295,242
  6. Step 6: Final answer
    x = 664,069.52

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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.