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Finding the Third Proportional to 253,058 and 371,972

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Solution

The third proportional to 253,058 and 371,972 is: 546,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,058 : 371,972 = 371,972 : x
  2. Step 2: Convert to fraction form
    253,058/371,972 = 371,972/x
  3. Step 3: Cross multiply
    253,058x = 371,972 × 371,972
  4. Step 4: Simplify right side
    253,058x = 138,363,168,784
  5. Step 5: Solve for x
    x = 138,363,168,784/253,058
  6. Step 6: Final answer
    x = 546,764.65

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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.