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Finding the Third Proportional to 281,582 and 612,735

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Solution

The third proportional to 281,582 and 612,735 is: 1,333,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,582 : 612,735 = 612,735 : x
  2. Step 2: Convert to fraction form
    281,582/612,735 = 612,735/x
  3. Step 3: Cross multiply
    281,582x = 612,735 × 612,735
  4. Step 4: Simplify right side
    281,582x = 375,444,180,225
  5. Step 5: Solve for x
    x = 375,444,180,225/281,582
  6. Step 6: Final answer
    x = 1,333,338.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.