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Finding the Third Proportional to 237,555 and 512,241

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Solution

The third proportional to 237,555 and 512,241 is: 1,104,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,555 : 512,241 = 512,241 : x
  2. Step 2: Convert to fraction form
    237,555/512,241 = 512,241/x
  3. Step 3: Cross multiply
    237,555x = 512,241 × 512,241
  4. Step 4: Simplify right side
    237,555x = 262,390,842,081
  5. Step 5: Solve for x
    x = 262,390,842,081/237,555
  6. Step 6: Final answer
    x = 1,104,547.76

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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.