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Finding the Third Proportional to 437,456 and 674,841

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Solution

The third proportional to 437,456 and 674,841 is: 1,041,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,456 : 674,841 = 674,841 : x
  2. Step 2: Convert to fraction form
    437,456/674,841 = 674,841/x
  3. Step 3: Cross multiply
    437,456x = 674,841 × 674,841
  4. Step 4: Simplify right side
    437,456x = 455,410,375,281
  5. Step 5: Solve for x
    x = 455,410,375,281/437,456
  6. Step 6: Final answer
    x = 1,041,042.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.