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Finding the Third Proportional to 253,912 and 373,011

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Solution

The third proportional to 253,912 and 373,011 is: 547,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,912 : 373,011 = 373,011 : x
  2. Step 2: Convert to fraction form
    253,912/373,011 = 373,011/x
  3. Step 3: Cross multiply
    253,912x = 373,011 × 373,011
  4. Step 4: Simplify right side
    253,912x = 139,137,206,121
  5. Step 5: Solve for x
    x = 139,137,206,121/253,912
  6. Step 6: Final answer
    x = 547,974.13

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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.