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Finding the Third Proportional to 281,594 and 612,760

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Solution

The third proportional to 281,594 and 612,760 is: 1,333,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,594 : 612,760 = 612,760 : x
  2. Step 2: Convert to fraction form
    281,594/612,760 = 612,760/x
  3. Step 3: Cross multiply
    281,594x = 612,760 × 612,760
  4. Step 4: Simplify right side
    281,594x = 375,474,817,600
  5. Step 5: Solve for x
    x = 375,474,817,600/281,594
  6. Step 6: Final answer
    x = 1,333,390.69

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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.