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Finding the Third Proportional to 237,475 and 504,097

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Solution

The third proportional to 237,475 and 504,097 is: 1,070,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,475 : 504,097 = 504,097 : x
  2. Step 2: Convert to fraction form
    237,475/504,097 = 504,097/x
  3. Step 3: Cross multiply
    237,475x = 504,097 × 504,097
  4. Step 4: Simplify right side
    237,475x = 254,113,785,409
  5. Step 5: Solve for x
    x = 254,113,785,409/237,475
  6. Step 6: Final answer
    x = 1,070,065.42

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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.