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Finding the Third Proportional to 372,532 and 804,602

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Solution

The third proportional to 372,532 and 804,602 is: 1,737,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,532 : 804,602 = 804,602 : x
  2. Step 2: Convert to fraction form
    372,532/804,602 = 804,602/x
  3. Step 3: Cross multiply
    372,532x = 804,602 × 804,602
  4. Step 4: Simplify right side
    372,532x = 647,384,378,404
  5. Step 5: Solve for x
    x = 647,384,378,404/372,532
  6. Step 6: Final answer
    x = 1,737,795.35

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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.