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Finding the Third Proportional to 285,804 and 610,972

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Solution

The third proportional to 285,804 and 610,972 is: 1,306,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,804 : 610,972 = 610,972 : x
  2. Step 2: Convert to fraction form
    285,804/610,972 = 610,972/x
  3. Step 3: Cross multiply
    285,804x = 610,972 × 610,972
  4. Step 4: Simplify right side
    285,804x = 373,286,784,784
  5. Step 5: Solve for x
    x = 373,286,784,784/285,804
  6. Step 6: Final answer
    x = 1,306,093.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.