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Finding the Third Proportional to 442,878 and 649,554

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Solution

The third proportional to 442,878 and 649,554 is: 952,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,878 : 649,554 = 649,554 : x
  2. Step 2: Convert to fraction form
    442,878/649,554 = 649,554/x
  3. Step 3: Cross multiply
    442,878x = 649,554 × 649,554
  4. Step 4: Simplify right side
    442,878x = 421,920,398,916
  5. Step 5: Solve for x
    x = 421,920,398,916/442,878
  6. Step 6: Final answer
    x = 952,678.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.