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Finding the Third Proportional to 379,197 and 805,050

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Solution

The third proportional to 379,197 and 805,050 is: 1,709,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,197 : 805,050 = 805,050 : x
  2. Step 2: Convert to fraction form
    379,197/805,050 = 805,050/x
  3. Step 3: Cross multiply
    379,197x = 805,050 × 805,050
  4. Step 4: Simplify right side
    379,197x = 648,105,502,500
  5. Step 5: Solve for x
    x = 648,105,502,500/379,197
  6. Step 6: Final answer
    x = 1,709,152.51

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.