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Finding the Third Proportional to 237,058 and 513,464

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Solution

The third proportional to 237,058 and 513,464 is: 1,112,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,058 : 513,464 = 513,464 : x
  2. Step 2: Convert to fraction form
    237,058/513,464 = 513,464/x
  3. Step 3: Cross multiply
    237,058x = 513,464 × 513,464
  4. Step 4: Simplify right side
    237,058x = 263,645,279,296
  5. Step 5: Solve for x
    x = 263,645,279,296/237,058
  6. Step 6: Final answer
    x = 1,112,155.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.