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Finding the Third Proportional to 372,537 and 804,606

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Solution

The third proportional to 372,537 and 804,606 is: 1,737,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,537 : 804,606 = 804,606 : x
  2. Step 2: Convert to fraction form
    372,537/804,606 = 804,606/x
  3. Step 3: Cross multiply
    372,537x = 804,606 × 804,606
  4. Step 4: Simplify right side
    372,537x = 647,390,815,236
  5. Step 5: Solve for x
    x = 647,390,815,236/372,537
  6. Step 6: Final answer
    x = 1,737,789.31

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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.