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Finding the Third Proportional to 360,772 and 571,244

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Solution

The third proportional to 360,772 and 571,244 is: 904,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,772 : 571,244 = 571,244 : x
  2. Step 2: Convert to fraction form
    360,772/571,244 = 571,244/x
  3. Step 3: Cross multiply
    360,772x = 571,244 × 571,244
  4. Step 4: Simplify right side
    360,772x = 326,319,707,536
  5. Step 5: Solve for x
    x = 326,319,707,536/360,772
  6. Step 6: Final answer
    x = 904,503.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.