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Finding the Third Proportional to 504,172 and 756,258

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Solution

The third proportional to 504,172 and 756,258 is: 1,134,387

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,172 : 756,258 = 756,258 : x
  2. Step 2: Convert to fraction form
    504,172/756,258 = 756,258/x
  3. Step 3: Cross multiply
    504,172x = 756,258 × 756,258
  4. Step 4: Simplify right side
    504,172x = 571,926,162,564
  5. Step 5: Solve for x
    x = 571,926,162,564/504,172
  6. Step 6: Final answer
    x = 1,134,387

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.