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Finding the Third Proportional to 237,572 and 504,295

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Solution

The third proportional to 237,572 and 504,295 is: 1,070,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,572 : 504,295 = 504,295 : x
  2. Step 2: Convert to fraction form
    237,572/504,295 = 504,295/x
  3. Step 3: Cross multiply
    237,572x = 504,295 × 504,295
  4. Step 4: Simplify right side
    237,572x = 254,313,447,025
  5. Step 5: Solve for x
    x = 254,313,447,025/237,572
  6. Step 6: Final answer
    x = 1,070,468.94

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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.