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Finding the Third Proportional to 245,069 and 374,813

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Solution

The third proportional to 245,069 and 374,813 is: 573,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,069 : 374,813 = 374,813 : x
  2. Step 2: Convert to fraction form
    245,069/374,813 = 374,813/x
  3. Step 3: Cross multiply
    245,069x = 374,813 × 374,813
  4. Step 4: Simplify right side
    245,069x = 140,484,784,969
  5. Step 5: Solve for x
    x = 140,484,784,969/245,069
  6. Step 6: Final answer
    x = 573,245.84

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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.