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Finding the Third Proportional to 237,566 and 504,283

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Solution

The third proportional to 237,566 and 504,283 is: 1,070,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,566 : 504,283 = 504,283 : x
  2. Step 2: Convert to fraction form
    237,566/504,283 = 504,283/x
  3. Step 3: Cross multiply
    237,566x = 504,283 × 504,283
  4. Step 4: Simplify right side
    237,566x = 254,301,344,089
  5. Step 5: Solve for x
    x = 254,301,344,089/237,566
  6. Step 6: Final answer
    x = 1,070,445.03

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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.