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Finding the Third Proportional to 273,618 and 496,935

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Solution

The third proportional to 273,618 and 496,935 is: 902,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,618 : 496,935 = 496,935 : x
  2. Step 2: Convert to fraction form
    273,618/496,935 = 496,935/x
  3. Step 3: Cross multiply
    273,618x = 496,935 × 496,935
  4. Step 4: Simplify right side
    273,618x = 246,944,394,225
  5. Step 5: Solve for x
    x = 246,944,394,225/273,618
  6. Step 6: Final answer
    x = 902,515.16

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.