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Finding the Third Proportional to 804,278.25 and 1,179,353.25

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Solution

The third proportional to 804,278.25 and 1,179,353.25 is: 1,729,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,278.25 : 1,179,353.25 = 1,179,353.25 : x
  2. Step 2: Convert to fraction form
    804,278.25/1,179,353.25 = 1,179,353.25/x
  3. Step 3: Cross multiply
    804,278.25x = 1,179,353.25 × 1,179,353.25
  4. Step 4: Simplify right side
    804,278.25x = 1,390,874,088,285.56
  5. Step 5: Solve for x
    x = 1,390,874,088,285.56/804,278.25
  6. Step 6: Final answer
    x = 1,729,344.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.