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Finding the Third Proportional to 295,776 and 442,512

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Solution

The third proportional to 295,776 and 442,512 is: 662,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,776 : 442,512 = 442,512 : x
  2. Step 2: Convert to fraction form
    295,776/442,512 = 442,512/x
  3. Step 3: Cross multiply
    295,776x = 442,512 × 442,512
  4. Step 4: Simplify right side
    295,776x = 195,816,870,144
  5. Step 5: Solve for x
    x = 195,816,870,144/295,776
  6. Step 6: Final answer
    x = 662,044.49

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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.