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Finding the Third Proportional to 237,018 and 512,127

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Solution

The third proportional to 237,018 and 512,127 is: 1,106,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,018 : 512,127 = 512,127 : x
  2. Step 2: Convert to fraction form
    237,018/512,127 = 512,127/x
  3. Step 3: Cross multiply
    237,018x = 512,127 × 512,127
  4. Step 4: Simplify right side
    237,018x = 262,274,064,129
  5. Step 5: Solve for x
    x = 262,274,064,129/237,018
  6. Step 6: Final answer
    x = 1,106,557.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.