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Finding the Third Proportional to 237,570 and 504,291

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Solution

The third proportional to 237,570 and 504,291 is: 1,070,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,570 : 504,291 = 504,291 : x
  2. Step 2: Convert to fraction form
    237,570/504,291 = 504,291/x
  3. Step 3: Cross multiply
    237,570x = 504,291 × 504,291
  4. Step 4: Simplify right side
    237,570x = 254,309,412,681
  5. Step 5: Solve for x
    x = 254,309,412,681/237,570
  6. Step 6: Final answer
    x = 1,070,460.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.