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Finding the Third Proportional to 374,076 and 807,204

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Solution

The third proportional to 374,076 and 807,204 is: 1,741,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,076 : 807,204 = 807,204 : x
  2. Step 2: Convert to fraction form
    374,076/807,204 = 807,204/x
  3. Step 3: Cross multiply
    374,076x = 807,204 × 807,204
  4. Step 4: Simplify right side
    374,076x = 651,578,297,616
  5. Step 5: Solve for x
    x = 651,578,297,616/374,076
  6. Step 6: Final answer
    x = 1,741,834.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.