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Finding the Third Proportional to 376,301.50 and 804,119

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Solution

The third proportional to 376,301.50 and 804,119 is: 1,718,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,301.50 : 804,119 = 804,119 : x
  2. Step 2: Convert to fraction form
    376,301.50/804,119 = 804,119/x
  3. Step 3: Cross multiply
    376,301.50x = 804,119 × 804,119
  4. Step 4: Simplify right side
    376,301.50x = 646,607,366,161
  5. Step 5: Solve for x
    x = 646,607,366,161/376,301.50
  6. Step 6: Final answer
    x = 1,718,322.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.