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Finding the Third Proportional to 237,054 and 513,456

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Solution

The third proportional to 237,054 and 513,456 is: 1,112,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,054 : 513,456 = 513,456 : x
  2. Step 2: Convert to fraction form
    237,054/513,456 = 513,456/x
  3. Step 3: Cross multiply
    237,054x = 513,456 × 513,456
  4. Step 4: Simplify right side
    237,054x = 263,637,063,936
  5. Step 5: Solve for x
    x = 263,637,063,936/237,054
  6. Step 6: Final answer
    x = 1,112,139.28

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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.