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Finding the Third Proportional to 245,065 and 374,807

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Solution

The third proportional to 245,065 and 374,807 is: 573,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,065 : 374,807 = 374,807 : x
  2. Step 2: Convert to fraction form
    245,065/374,807 = 374,807/x
  3. Step 3: Cross multiply
    245,065x = 374,807 × 374,807
  4. Step 4: Simplify right side
    245,065x = 140,480,287,249
  5. Step 5: Solve for x
    x = 140,480,287,249/245,065
  6. Step 6: Final answer
    x = 573,236.84

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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.