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Finding the Third Proportional to 372,715 and 804,442

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Solution

The third proportional to 372,715 and 804,442 is: 1,736,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,715 : 804,442 = 804,442 : x
  2. Step 2: Convert to fraction form
    372,715/804,442 = 804,442/x
  3. Step 3: Cross multiply
    372,715x = 804,442 × 804,442
  4. Step 4: Simplify right side
    372,715x = 647,126,931,364
  5. Step 5: Solve for x
    x = 647,126,931,364/372,715
  6. Step 6: Final answer
    x = 1,736,251.38

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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.