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Finding the Third Proportional to 245,072 and 374,817

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Solution

The third proportional to 245,072 and 374,817 is: 573,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,072 : 374,817 = 374,817 : x
  2. Step 2: Convert to fraction form
    245,072/374,817 = 374,817/x
  3. Step 3: Cross multiply
    245,072x = 374,817 × 374,817
  4. Step 4: Simplify right side
    245,072x = 140,487,783,489
  5. Step 5: Solve for x
    x = 140,487,783,489/245,072
  6. Step 6: Final answer
    x = 573,251.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.