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Finding the Third Proportional to 377,341 and 560,874

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Solution

The third proportional to 377,341 and 560,874 is: 833,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,341 : 560,874 = 560,874 : x
  2. Step 2: Convert to fraction form
    377,341/560,874 = 560,874/x
  3. Step 3: Cross multiply
    377,341x = 560,874 × 560,874
  4. Step 4: Simplify right side
    377,341x = 314,579,643,876
  5. Step 5: Solve for x
    x = 314,579,643,876/377,341
  6. Step 6: Final answer
    x = 833,674.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.