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Finding the Third Proportional to 253,928 and 373,032

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Solution

The third proportional to 253,928 and 373,032 is: 548,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,928 : 373,032 = 373,032 : x
  2. Step 2: Convert to fraction form
    253,928/373,032 = 373,032/x
  3. Step 3: Cross multiply
    253,928x = 373,032 × 373,032
  4. Step 4: Simplify right side
    253,928x = 139,152,873,024
  5. Step 5: Solve for x
    x = 139,152,873,024/253,928
  6. Step 6: Final answer
    x = 548,001.30

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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.