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Finding the Third Proportional to 281,712 and 586,848

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Solution

The third proportional to 281,712 and 586,848 is: 1,222,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,712 : 586,848 = 586,848 : x
  2. Step 2: Convert to fraction form
    281,712/586,848 = 586,848/x
  3. Step 3: Cross multiply
    281,712x = 586,848 × 586,848
  4. Step 4: Simplify right side
    281,712x = 344,390,575,104
  5. Step 5: Solve for x
    x = 344,390,575,104/281,712
  6. Step 6: Final answer
    x = 1,222,491.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.