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Finding the Third Proportional to 379,194 and 805,044

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Solution

The third proportional to 379,194 and 805,044 is: 1,709,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,194 : 805,044 = 805,044 : x
  2. Step 2: Convert to fraction form
    379,194/805,044 = 805,044/x
  3. Step 3: Cross multiply
    379,194x = 805,044 × 805,044
  4. Step 4: Simplify right side
    379,194x = 648,095,841,936
  5. Step 5: Solve for x
    x = 648,095,841,936/379,194
  6. Step 6: Final answer
    x = 1,709,140.55

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Why These Related Problems?

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