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Finding the Third Proportional to 499,681.31 and 804,709.13

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Solution

The third proportional to 499,681.31 and 804,709.13 is: 1,295,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,681.31 : 804,709.13 = 804,709.13 : x
  2. Step 2: Convert to fraction form
    499,681.31/804,709.13 = 804,709.13/x
  3. Step 3: Cross multiply
    499,681.31x = 804,709.13 × 804,709.13
  4. Step 4: Simplify right side
    499,681.31x = 647,556,775,858.27
  5. Step 5: Solve for x
    x = 647,556,775,858.27/499,681.31
  6. Step 6: Final answer
    x = 1,295,939.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.