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Finding the Third Proportional to 372,658.31 and 804,325.13

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Solution

The third proportional to 372,658.31 and 804,325.13 is: 1,736,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,658.31 : 804,325.13 = 804,325.13 : x
  2. Step 2: Convert to fraction form
    372,658.31/804,325.13 = 804,325.13/x
  3. Step 3: Cross multiply
    372,658.31x = 804,325.13 × 804,325.13
  4. Step 4: Simplify right side
    372,658.31x = 646,938,906,706.27
  5. Step 5: Solve for x
    x = 646,938,906,706.27/372,658.31
  6. Step 6: Final answer
    x = 1,736,010.94

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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.