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Finding the Third Proportional to 237,894 and 512,924

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Solution

The third proportional to 237,894 and 512,924 is: 1,105,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,894 : 512,924 = 512,924 : x
  2. Step 2: Convert to fraction form
    237,894/512,924 = 512,924/x
  3. Step 3: Cross multiply
    237,894x = 512,924 × 512,924
  4. Step 4: Simplify right side
    237,894x = 263,091,029,776
  5. Step 5: Solve for x
    x = 263,091,029,776/237,894
  6. Step 6: Final answer
    x = 1,105,917.05

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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.