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Finding the Third Proportional to 542,865.38 and 798,491.25

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Solution

The third proportional to 542,865.38 and 798,491.25 is: 1,174,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,865.38 : 798,491.25 = 798,491.25 : x
  2. Step 2: Convert to fraction form
    542,865.38/798,491.25 = 798,491.25/x
  3. Step 3: Cross multiply
    542,865.38x = 798,491.25 × 798,491.25
  4. Step 4: Simplify right side
    542,865.38x = 637,588,276,326.56
  5. Step 5: Solve for x
    x = 637,588,276,326.56/542,865.38
  6. Step 6: Final answer
    x = 1,174,486.91

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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.