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Finding the Third Proportional to 377,938 and 577,894

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Solution

The third proportional to 377,938 and 577,894 is: 883,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,938 : 577,894 = 577,894 : x
  2. Step 2: Convert to fraction form
    377,938/577,894 = 577,894/x
  3. Step 3: Cross multiply
    377,938x = 577,894 × 577,894
  4. Step 4: Simplify right side
    377,938x = 333,961,475,236
  5. Step 5: Solve for x
    x = 333,961,475,236/377,938
  6. Step 6: Final answer
    x = 883,640.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.