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Finding the Third Proportional to 273,968 and 403,564

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Solution

The third proportional to 273,968 and 403,564 is: 594,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,968 : 403,564 = 403,564 : x
  2. Step 2: Convert to fraction form
    273,968/403,564 = 403,564/x
  3. Step 3: Cross multiply
    273,968x = 403,564 × 403,564
  4. Step 4: Simplify right side
    273,968x = 162,863,902,096
  5. Step 5: Solve for x
    x = 162,863,902,096/273,968
  6. Step 6: Final answer
    x = 594,463.23

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Why These Related Problems?

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