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Finding the Third Proportional to 281,292 and 606,564

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Solution

The third proportional to 281,292 and 606,564 is: 1,307,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,292 : 606,564 = 606,564 : x
  2. Step 2: Convert to fraction form
    281,292/606,564 = 606,564/x
  3. Step 3: Cross multiply
    281,292x = 606,564 × 606,564
  4. Step 4: Simplify right side
    281,292x = 367,919,886,096
  5. Step 5: Solve for x
    x = 367,919,886,096/281,292
  6. Step 6: Final answer
    x = 1,307,964.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.