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Finding the Third Proportional to 295,384.50 and 442,968.75

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Solution

The third proportional to 295,384.50 and 442,968.75 is: 664,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,384.50 : 442,968.75 = 442,968.75 : x
  2. Step 2: Convert to fraction form
    295,384.50/442,968.75 = 442,968.75/x
  3. Step 3: Cross multiply
    295,384.50x = 442,968.75 × 442,968.75
  4. Step 4: Simplify right side
    295,384.50x = 196,221,313,476.56
  5. Step 5: Solve for x
    x = 196,221,313,476.56/295,384.50
  6. Step 6: Final answer
    x = 664,291.16

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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.