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Finding the Third Proportional to 377,370 and 560,907

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Solution

The third proportional to 377,370 and 560,907 is: 833,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,370 : 560,907 = 560,907 : x
  2. Step 2: Convert to fraction form
    377,370/560,907 = 560,907/x
  3. Step 3: Cross multiply
    377,370x = 560,907 × 560,907
  4. Step 4: Simplify right side
    377,370x = 314,616,662,649
  5. Step 5: Solve for x
    x = 314,616,662,649/377,370
  6. Step 6: Final answer
    x = 833,708.73

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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.