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Finding the Third Proportional to 253,906 and 373,002

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Solution

The third proportional to 253,906 and 373,002 is: 547,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,906 : 373,002 = 373,002 : x
  2. Step 2: Convert to fraction form
    253,906/373,002 = 373,002/x
  3. Step 3: Cross multiply
    253,906x = 373,002 × 373,002
  4. Step 4: Simplify right side
    253,906x = 139,130,492,004
  5. Step 5: Solve for x
    x = 139,130,492,004/253,906
  6. Step 6: Final answer
    x = 547,960.63

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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.